That happened to me once. A new multi popped up, and I saw no one had found, so off I went to the starting point. Being GPSless and Car/bikeless at the time though, I had to walk about a half mile to the starting location, walk back to my house, enter the coords on Google Earth, then walk back to the same area. Turns out the cache was right across the street.
I ended being the third to find on that one.