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Finding the Fourth Proportional to 721.35, 1,002.15 and 714.60

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Solution

The fourth proportional to 721.35, 1,002.15 and 714.60 is: 992.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.35 : 1,002.15 = 714.60 : x
  2. Step 2: Convert to fraction form
    721.35/1,002.15 = 714.60/x
  3. Step 3: Cross multiply
    721.35x = 1,002.15 × 714.60
  4. Step 4: Simplify right side
    721.35x = 716,136.39
  5. Step 5: Solve for x
    x = 716,136.39/721.35
  6. Step 6: Final answer
    x = 992.77

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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.