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Finding the Fourth Proportional to 951.92, 1,429.10 and 519.38

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Solution

The fourth proportional to 951.92, 1,429.10 and 519.38 is: 779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.92 : 1,429.10 = 519.38 : x
  2. Step 2: Convert to fraction form
    951.92/1,429.10 = 519.38/x
  3. Step 3: Cross multiply
    951.92x = 1,429.10 × 519.38
  4. Step 4: Simplify right side
    951.92x = 742,245.96
  5. Step 5: Solve for x
    x = 742,245.96/951.92
  6. Step 6: Final answer
    x = 779.74

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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.