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Finding the Fourth Proportional to 766.55, 1,062.66 and 724.97

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Solution

The fourth proportional to 766.55, 1,062.66 and 724.97 is: 1,005.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.55 : 1,062.66 = 724.97 : x
  2. Step 2: Convert to fraction form
    766.55/1,062.66 = 724.97/x
  3. Step 3: Cross multiply
    766.55x = 1,062.66 × 724.97
  4. Step 4: Simplify right side
    766.55x = 770,391.31
  5. Step 5: Solve for x
    x = 770,391.31/766.55
  6. Step 6: Final answer
    x = 1,005.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.