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Finding the Fourth Proportional to 951.90, 1,313.60 and 532.24

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Solution

The fourth proportional to 951.90, 1,313.60 and 532.24 is: 734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.90 : 1,313.60 = 532.24 : x
  2. Step 2: Convert to fraction form
    951.90/1,313.60 = 532.24/x
  3. Step 3: Cross multiply
    951.90x = 1,313.60 × 532.24
  4. Step 4: Simplify right side
    951.90x = 699,150.46
  5. Step 5: Solve for x
    x = 699,150.46/951.90
  6. Step 6: Final answer
    x = 734.48

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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.