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Finding the Fourth Proportional to 951.83, 1,313.45 and 532.15

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Solution

The fourth proportional to 951.83, 1,313.45 and 532.15 is: 734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.83 : 1,313.45 = 532.15 : x
  2. Step 2: Convert to fraction form
    951.83/1,313.45 = 532.15/x
  3. Step 3: Cross multiply
    951.83x = 1,313.45 × 532.15
  4. Step 4: Simplify right side
    951.83x = 698,948.47
  5. Step 5: Solve for x
    x = 698,948.47/951.83
  6. Step 6: Final answer
    x = 734.32

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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.