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Finding the Fourth Proportional to 721.60, 997 and 567.52

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Solution

The fourth proportional to 721.60, 997 and 567.52 is: 784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.60 : 997 = 567.52 : x
  2. Step 2: Convert to fraction form
    721.60/997 = 567.52/x
  3. Step 3: Cross multiply
    721.60x = 997 × 567.52
  4. Step 4: Simplify right side
    721.60x = 565,817.44
  5. Step 5: Solve for x
    x = 565,817.44/721.60
  6. Step 6: Final answer
    x = 784.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.