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Finding the Fourth Proportional to 717.70, 1,074.12 and 596.20

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Solution

The fourth proportional to 717.70, 1,074.12 and 596.20 is: 892.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.70 : 1,074.12 = 596.20 : x
  2. Step 2: Convert to fraction form
    717.70/1,074.12 = 596.20/x
  3. Step 3: Cross multiply
    717.70x = 1,074.12 × 596.20
  4. Step 4: Simplify right side
    717.70x = 640,390.34
  5. Step 5: Solve for x
    x = 640,390.34/717.70
  6. Step 6: Final answer
    x = 892.28

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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.