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Finding the Fourth Proportional to 773.60, 1,158.56 and 649.60

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Solution

The fourth proportional to 773.60, 1,158.56 and 649.60 is: 972.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.60 : 1,158.56 = 649.60 : x
  2. Step 2: Convert to fraction form
    773.60/1,158.56 = 649.60/x
  3. Step 3: Cross multiply
    773.60x = 1,158.56 × 649.60
  4. Step 4: Simplify right side
    773.60x = 752,600.58
  5. Step 5: Solve for x
    x = 752,600.58/773.60
  6. Step 6: Final answer
    x = 972.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.