You could do something along the lines of 
http://www.imagemagick.org/Usage/windows/#calc_fx, i.e. first Identify the 
dimensions of the PDF (using a standard resolution), then calculate the 
adequate resolution based on the result of this and than hand over this result 
to Convert.

The above link leeds to a Windows example, but the approach is similar (and 
probably even easier) under other operation systems.

Wolfgang Hugemann

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