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Finding the Fourth Proportional to 717.86, 1,074.76 and 457.21

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Solution

The fourth proportional to 717.86, 1,074.76 and 457.21 is: 684.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.86 : 1,074.76 = 457.21 : x
  2. Step 2: Convert to fraction form
    717.86/1,074.76 = 457.21/x
  3. Step 3: Cross multiply
    717.86x = 1,074.76 × 457.21
  4. Step 4: Simplify right side
    717.86x = 491,388.73
  5. Step 5: Solve for x
    x = 491,388.73/717.86
  6. Step 6: Final answer
    x = 684.52

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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.