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Finding the Fourth Proportional to 925.96, 1,387.74 and 439.16

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Solution

The fourth proportional to 925.96, 1,387.74 and 439.16 is: 658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.96 : 1,387.74 = 439.16 : x
  2. Step 2: Convert to fraction form
    925.96/1,387.74 = 439.16/x
  3. Step 3: Cross multiply
    925.96x = 1,387.74 × 439.16
  4. Step 4: Simplify right side
    925.96x = 609,439.90
  5. Step 5: Solve for x
    x = 609,439.90/925.96
  6. Step 6: Final answer
    x = 658.17

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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.