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Finding the Fourth Proportional to 925.11, 1,387.98 and 431.75

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Solution

The fourth proportional to 925.11, 1,387.98 and 431.75 is: 647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.11 : 1,387.98 = 431.75 : x
  2. Step 2: Convert to fraction form
    925.11/1,387.98 = 431.75/x
  3. Step 3: Cross multiply
    925.11x = 1,387.98 × 431.75
  4. Step 4: Simplify right side
    925.11x = 599,253.43
  5. Step 5: Solve for x
    x = 599,253.43/925.11
  6. Step 6: Final answer
    x = 647.76

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