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Finding the Fourth Proportional to 951.75, 1,313.31 and 532.14

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Solution

The fourth proportional to 951.75, 1,313.31 and 532.14 is: 734.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.75 : 1,313.31 = 532.14 : x
  2. Step 2: Convert to fraction form
    951.75/1,313.31 = 532.14/x
  3. Step 3: Cross multiply
    951.75x = 1,313.31 × 532.14
  4. Step 4: Simplify right side
    951.75x = 698,861.85
  5. Step 5: Solve for x
    x = 698,861.85/951.75
  6. Step 6: Final answer
    x = 734.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.