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Finding the Fourth Proportional to 925.72, 1,387.65 and 437.90

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Solution

The fourth proportional to 925.72, 1,387.65 and 437.90 is: 656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.72 : 1,387.65 = 437.90 : x
  2. Step 2: Convert to fraction form
    925.72/1,387.65 = 437.90/x
  3. Step 3: Cross multiply
    925.72x = 1,387.65 × 437.90
  4. Step 4: Simplify right side
    925.72x = 607,651.94
  5. Step 5: Solve for x
    x = 607,651.94/925.72
  6. Step 6: Final answer
    x = 656.41

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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.