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Finding the Fourth Proportional to 636.82, 952.86 and 559.24

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Solution

The fourth proportional to 636.82, 952.86 and 559.24 is: 836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.82 : 952.86 = 559.24 : x
  2. Step 2: Convert to fraction form
    636.82/952.86 = 559.24/x
  3. Step 3: Cross multiply
    636.82x = 952.86 × 559.24
  4. Step 4: Simplify right side
    636.82x = 532,877.43
  5. Step 5: Solve for x
    x = 532,877.43/636.82
  6. Step 6: Final answer
    x = 836.78

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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.