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Finding the Fourth Proportional to 717.28, 1,074.40 and 457.44

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Solution

The fourth proportional to 717.28, 1,074.40 and 457.44 is: 685.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.28 : 1,074.40 = 457.44 : x
  2. Step 2: Convert to fraction form
    717.28/1,074.40 = 457.44/x
  3. Step 3: Cross multiply
    717.28x = 1,074.40 × 457.44
  4. Step 4: Simplify right side
    717.28x = 491,473.54
  5. Step 5: Solve for x
    x = 491,473.54/717.28
  6. Step 6: Final answer
    x = 685.19

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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.