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Finding the Fourth Proportional to 1,008.83, 1,392.17 and 560.72

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Solution

The fourth proportional to 1,008.83, 1,392.17 and 560.72 is: 773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.83 : 1,392.17 = 560.72 : x
  2. Step 2: Convert to fraction form
    1,008.83/1,392.17 = 560.72/x
  3. Step 3: Cross multiply
    1,008.83x = 1,392.17 × 560.72
  4. Step 4: Simplify right side
    1,008.83x = 780,610.60
  5. Step 5: Solve for x
    x = 780,610.60/1,008.83
  6. Step 6: Final answer
    x = 773.78

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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.