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Finding the Fourth Proportional to 701.20, 966.51 and 560.86

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Solution

The fourth proportional to 701.20, 966.51 and 560.86 is: 773.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.20 : 966.51 = 560.86 : x
  2. Step 2: Convert to fraction form
    701.20/966.51 = 560.86/x
  3. Step 3: Cross multiply
    701.20x = 966.51 × 560.86
  4. Step 4: Simplify right side
    701.20x = 542,076.80
  5. Step 5: Solve for x
    x = 542,076.80/701.20
  6. Step 6: Final answer
    x = 773.07

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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.