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Finding the Fourth Proportional to 747.97, 1,032.02 and 437.47

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Solution

The fourth proportional to 747.97, 1,032.02 and 437.47 is: 603.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.97 : 1,032.02 = 437.47 : x
  2. Step 2: Convert to fraction form
    747.97/1,032.02 = 437.47/x
  3. Step 3: Cross multiply
    747.97x = 1,032.02 × 437.47
  4. Step 4: Simplify right side
    747.97x = 451,475.60
  5. Step 5: Solve for x
    x = 451,475.60/747.97
  6. Step 6: Final answer
    x = 603.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.