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Finding the Fourth Proportional to 868.92, 1,304.16 and 634.86

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Solution

The fourth proportional to 868.92, 1,304.16 and 634.86 is: 952.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.92 : 1,304.16 = 634.86 : x
  2. Step 2: Convert to fraction form
    868.92/1,304.16 = 634.86/x
  3. Step 3: Cross multiply
    868.92x = 1,304.16 × 634.86
  4. Step 4: Simplify right side
    868.92x = 827,959.02
  5. Step 5: Solve for x
    x = 827,959.02/868.92
  6. Step 6: Final answer
    x = 952.86

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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.