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Finding the Fourth Proportional to 1,008.56, 1,391.91 and 560.58

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Solution

The fourth proportional to 1,008.56, 1,391.91 and 560.58 is: 773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.56 : 1,391.91 = 560.58 : x
  2. Step 2: Convert to fraction form
    1,008.56/1,391.91 = 560.58/x
  3. Step 3: Cross multiply
    1,008.56x = 1,391.91 × 560.58
  4. Step 4: Simplify right side
    1,008.56x = 780,269.59
  5. Step 5: Solve for x
    x = 780,269.59/1,008.56
  6. Step 6: Final answer
    x = 773.65

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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.