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Finding the Fourth Proportional to 709.20, 979.56 and 686.52

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Solution

The fourth proportional to 709.20, 979.56 and 686.52 is: 948.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.20 : 979.56 = 686.52 : x
  2. Step 2: Convert to fraction form
    709.20/979.56 = 686.52/x
  3. Step 3: Cross multiply
    709.20x = 979.56 × 686.52
  4. Step 4: Simplify right side
    709.20x = 672,487.53
  5. Step 5: Solve for x
    x = 672,487.53/709.20
  6. Step 6: Final answer
    x = 948.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.