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Finding the Fourth Proportional to 1,372.92, 2,058.16 and 507.03

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Solution

The fourth proportional to 1,372.92, 2,058.16 and 507.03 is: 760.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.92 : 2,058.16 = 507.03 : x
  2. Step 2: Convert to fraction form
    1,372.92/2,058.16 = 507.03/x
  3. Step 3: Cross multiply
    1,372.92x = 2,058.16 × 507.03
  4. Step 4: Simplify right side
    1,372.92x = 1,043,548.86
  5. Step 5: Solve for x
    x = 1,043,548.86/1,372.92
  6. Step 6: Final answer
    x = 760.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.