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Finding the Fourth Proportional to 1,372.20, 2,058.63 and 398.31

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Solution

The fourth proportional to 1,372.20, 2,058.63 and 398.31 is: 597.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.20 : 2,058.63 = 398.31 : x
  2. Step 2: Convert to fraction form
    1,372.20/2,058.63 = 398.31/x
  3. Step 3: Cross multiply
    1,372.20x = 2,058.63 × 398.31
  4. Step 4: Simplify right side
    1,372.20x = 819,962.62
  5. Step 5: Solve for x
    x = 819,962.62/1,372.20
  6. Step 6: Final answer
    x = 597.56

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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.