  We study the rational homotopy theoretic and geometric properties of a
construction which extends any cohomologically connected, finite type cdga to
one satisfying cohomological Poincar\'e duality. Using this construction we
show that non-trivial quadruple Massey products can pull back trivially under
non-zero degree maps of Poincar\'e duality spaces, unlike the case of triple
Massey products as studied by Taylor. We also show that a non-zero degree map
between formal rational Poincar\'e duality spaces need not be formal. Our
consideration of Massey products naturally ties in with cyclic
$A_\infty$-algebras modelling Poincar\'e duality spaces.
