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Finding the Fourth Proportional to 717.20, 1,073.88 and 428.08

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Solution

The fourth proportional to 717.20, 1,073.88 and 428.08 is: 640.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.20 : 1,073.88 = 428.08 : x
  2. Step 2: Convert to fraction form
    717.20/1,073.88 = 428.08/x
  3. Step 3: Cross multiply
    717.20x = 1,073.88 × 428.08
  4. Step 4: Simplify right side
    717.20x = 459,706.55
  5. Step 5: Solve for x
    x = 459,706.55/717.20
  6. Step 6: Final answer
    x = 640.97

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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.