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Finding the Fourth Proportional to 712.52, 1,066.43 and 437.31

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Solution

The fourth proportional to 712.52, 1,066.43 and 437.31 is: 654.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.52 : 1,066.43 = 437.31 : x
  2. Step 2: Convert to fraction form
    712.52/1,066.43 = 437.31/x
  3. Step 3: Cross multiply
    712.52x = 1,066.43 × 437.31
  4. Step 4: Simplify right side
    712.52x = 466,358.32
  5. Step 5: Solve for x
    x = 466,358.32/712.52
  6. Step 6: Final answer
    x = 654.52

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Why These Related Problems?

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