I found various photos of the rear of a Sapphire Radeon 9250 PCI that seems to be the same as your card, such as here, here, and here.
But unfortunately none of them are detailed enough to make out what value the resistor on the right is. 🙁 All I could see is that it appears to have 3 digits, so not a zero-ohm resistor. But we can see that the missing part on the left is definitely a capacitor. I'd guess it's probably the same value as the one next to it.
Whatever that missing resistor is, I suspect it's part of the feedback network of the RT9202 switching regulator nearby. If it's the 'bottom' resistor of the feedback divider (the one that connects to ground on one side), that means the RT9202 will always be thinking the regulated output voltage is too high, and so try to bring it down, probably ultimately bringing it to the RT9202's feedback reference voltage of 0.8V, which won't be enough to operate the GPU (if that's what it's supplying).
You can check if that missing resistor is indeed the lower part of the feedback network by checking with a meter if one pad is connected to ground, and the other pad is connected to pin 6 ('FB') of the RT9202.