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Finding the Fourth Proportional to 979.92, 1,352.21 and 560.14

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Solution

The fourth proportional to 979.92, 1,352.21 and 560.14 is: 772.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.92 : 1,352.21 = 560.14 : x
  2. Step 2: Convert to fraction form
    979.92/1,352.21 = 560.14/x
  3. Step 3: Cross multiply
    979.92x = 1,352.21 × 560.14
  4. Step 4: Simplify right side
    979.92x = 757,420.73
  5. Step 5: Solve for x
    x = 757,420.73/979.92
  6. Step 6: Final answer
    x = 772.94

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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.