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Finding the Fourth Proportional to 721.40, 1,002.24 and 712.76

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Solution

The fourth proportional to 721.40, 1,002.24 and 712.76 is: 990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.40 : 1,002.24 = 712.76 : x
  2. Step 2: Convert to fraction form
    721.40/1,002.24 = 712.76/x
  3. Step 3: Cross multiply
    721.40x = 1,002.24 × 712.76
  4. Step 4: Simplify right side
    721.40x = 714,351.57
  5. Step 5: Solve for x
    x = 714,351.57/721.40
  6. Step 6: Final answer
    x = 990.24

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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.