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Finding the Fourth Proportional to 868.49, 1,198.53 and 532.38

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Solution

The fourth proportional to 868.49, 1,198.53 and 532.38 is: 734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.49 : 1,198.53 = 532.38 : x
  2. Step 2: Convert to fraction form
    868.49/1,198.53 = 532.38/x
  3. Step 3: Cross multiply
    868.49x = 1,198.53 × 532.38
  4. Step 4: Simplify right side
    868.49x = 638,073.40
  5. Step 5: Solve for x
    x = 638,073.40/868.49
  6. Step 6: Final answer
    x = 734.70

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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.