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Finding the Fourth Proportional to 865.91, 1,299.52 and 635.38

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Solution

The fourth proportional to 865.91, 1,299.52 and 635.38 is: 953.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.91 : 1,299.52 = 635.38 : x
  2. Step 2: Convert to fraction form
    865.91/1,299.52 = 635.38/x
  3. Step 3: Cross multiply
    865.91x = 1,299.52 × 635.38
  4. Step 4: Simplify right side
    865.91x = 825,689.02
  5. Step 5: Solve for x
    x = 825,689.02/865.91
  6. Step 6: Final answer
    x = 953.55

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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.