Paul - Are you trying to find out where your site or sites are ranking for a keyword or are you looking for competitor rankings? I ask for two reasons:
#1 - Van Gogh brings up a good point regarding the search results you would see versus the results that I would see. Google uses a number of huge datacenters and each runs a slightly different ranking algorithm, and then localized search results are integrated at that point before you see the end search result.
#2 - There are paid tools that you can use to track various keywords over time for either your site or for competitors sites. However, their accuracy is open for discussion based on point #1.
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