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Finding the Fourth Proportional to 925.17, 1,387.85 and 377.27

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Solution

The fourth proportional to 925.17, 1,387.85 and 377.27 is: 565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.17 : 1,387.85 = 377.27 : x
  2. Step 2: Convert to fraction form
    925.17/1,387.85 = 377.27/x
  3. Step 3: Cross multiply
    925.17x = 1,387.85 × 377.27
  4. Step 4: Simplify right side
    925.17x = 523,585.34
  5. Step 5: Solve for x
    x = 523,585.34/925.17
  6. Step 6: Final answer
    x = 565.93

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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.