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Finding the Fourth Proportional to 925.23, 1,387.15 and 437.71

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Solution

The fourth proportional to 925.23, 1,387.15 and 437.71 is: 656.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.23 : 1,387.15 = 437.71 : x
  2. Step 2: Convert to fraction form
    925.23/1,387.15 = 437.71/x
  3. Step 3: Cross multiply
    925.23x = 1,387.15 × 437.71
  4. Step 4: Simplify right side
    925.23x = 607,169.43
  5. Step 5: Solve for x
    x = 607,169.43/925.23
  6. Step 6: Final answer
    x = 656.24

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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.