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Finding the Fourth Proportional to 717.59, 1,078.21 and 457.72

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Solution

The fourth proportional to 717.59, 1,078.21 and 457.72 is: 687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.59 : 1,078.21 = 457.72 : x
  2. Step 2: Convert to fraction form
    717.59/1,078.21 = 457.72/x
  3. Step 3: Cross multiply
    717.59x = 1,078.21 × 457.72
  4. Step 4: Simplify right side
    717.59x = 493,516.16
  5. Step 5: Solve for x
    x = 493,516.16/717.59
  6. Step 6: Final answer
    x = 687.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.