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Finding the Fourth Proportional to 1,372.20, 2,058.42 and 506.52

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Solution

The fourth proportional to 1,372.20, 2,058.42 and 506.52 is: 759.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.20 : 2,058.42 = 506.52 : x
  2. Step 2: Convert to fraction form
    1,372.20/2,058.42 = 506.52/x
  3. Step 3: Cross multiply
    1,372.20x = 2,058.42 × 506.52
  4. Step 4: Simplify right side
    1,372.20x = 1,042,630.90
  5. Step 5: Solve for x
    x = 1,042,630.90/1,372.20
  6. Step 6: Final answer
    x = 759.82

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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.