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Ack, stupid typesetting! The formula in that document that Salcoco listed is missing a set of parantheses, which makes it incorrect.
Here is what they meant (which, of course, is the same as A Pearson's Square):
X = V*(C-A) / (B-C), where
X = GAL BRANDY NEEDED
V = GALLONS OF WINE
C = FINAL ALCOHOL % WANTED
B = ALCOHOL % OF BRANDY
A = ALCOHOL % OF WINE
i found a little playing i needed... if you know the abv and ending residual sugar that you want, the just the pearsons square will no do it. i found that i made two pearson's squares.. one for sugar, and one for abv.