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Finding the Fourth Proportional to 709.66, 1,063.59 and 636.76

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Solution

The fourth proportional to 709.66, 1,063.59 and 636.76 is: 954.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.66 : 1,063.59 = 636.76 : x
  2. Step 2: Convert to fraction form
    709.66/1,063.59 = 636.76/x
  3. Step 3: Cross multiply
    709.66x = 1,063.59 × 636.76
  4. Step 4: Simplify right side
    709.66x = 677,251.57
  5. Step 5: Solve for x
    x = 677,251.57/709.66
  6. Step 6: Final answer
    x = 954.33

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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.