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Finding the Fourth Proportional to 754.95, 1,132.77 and 724.21

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Solution

The fourth proportional to 754.95, 1,132.77 and 724.21 is: 1,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.95 : 1,132.77 = 724.21 : x
  2. Step 2: Convert to fraction form
    754.95/1,132.77 = 724.21/x
  3. Step 3: Cross multiply
    754.95x = 1,132.77 × 724.21
  4. Step 4: Simplify right side
    754.95x = 820,363.25
  5. Step 5: Solve for x
    x = 820,363.25/754.95
  6. Step 6: Final answer
    x = 1,086.64

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Why These Related Problems?

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