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Finding the Fourth Proportional to 754.77, 1,132 and 717.74

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Solution

The fourth proportional to 754.77, 1,132 and 717.74 is: 1,076.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.77 : 1,132 = 717.74 : x
  2. Step 2: Convert to fraction form
    754.77/1,132 = 717.74/x
  3. Step 3: Cross multiply
    754.77x = 1,132 × 717.74
  4. Step 4: Simplify right side
    754.77x = 812,481.68
  5. Step 5: Solve for x
    x = 812,481.68/754.77
  6. Step 6: Final answer
    x = 1,076.46

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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.