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Finding the Fourth Proportional to 717.32, 1,073.82 and 408.62

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Solution

The fourth proportional to 717.32, 1,073.82 and 408.62 is: 611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.32 : 1,073.82 = 408.62 : x
  2. Step 2: Convert to fraction form
    717.32/1,073.82 = 408.62/x
  3. Step 3: Cross multiply
    717.32x = 1,073.82 × 408.62
  4. Step 4: Simplify right side
    717.32x = 438,784.33
  5. Step 5: Solve for x
    x = 438,784.33/717.32
  6. Step 6: Final answer
    x = 611.70

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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.