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Finding the Fourth Proportional to 709.80, 979.12 and 447.72

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Solution

The fourth proportional to 709.80, 979.12 and 447.72 is: 617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.80 : 979.12 = 447.72 : x
  2. Step 2: Convert to fraction form
    709.80/979.12 = 447.72/x
  3. Step 3: Cross multiply
    709.80x = 979.12 × 447.72
  4. Step 4: Simplify right side
    709.80x = 438,371.61
  5. Step 5: Solve for x
    x = 438,371.61/709.80
  6. Step 6: Final answer
    x = 617.60

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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.