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Finding the Fourth Proportional to 716.97, 1,077.25 and 457.09

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Solution

The fourth proportional to 716.97, 1,077.25 and 457.09 is: 686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.97 : 1,077.25 = 457.09 : x
  2. Step 2: Convert to fraction form
    716.97/1,077.25 = 457.09/x
  3. Step 3: Cross multiply
    716.97x = 1,077.25 × 457.09
  4. Step 4: Simplify right side
    716.97x = 492,400.20
  5. Step 5: Solve for x
    x = 492,400.20/716.97
  6. Step 6: Final answer
    x = 686.78

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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.