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Finding the Fourth Proportional to 927.70, 1,391.70 and 517.24

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Solution

The fourth proportional to 927.70, 1,391.70 and 517.24 is: 775.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.70 : 1,391.70 = 517.24 : x
  2. Step 2: Convert to fraction form
    927.70/1,391.70 = 517.24/x
  3. Step 3: Cross multiply
    927.70x = 1,391.70 × 517.24
  4. Step 4: Simplify right side
    927.70x = 719,842.91
  5. Step 5: Solve for x
    x = 719,842.91/927.70
  6. Step 6: Final answer
    x = 775.94

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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.