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Finding the Fourth Proportional to 617.92, 851.90 and 512.62

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Solution

The fourth proportional to 617.92, 851.90 and 512.62 is: 706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.92 : 851.90 = 512.62 : x
  2. Step 2: Convert to fraction form
    617.92/851.90 = 512.62/x
  3. Step 3: Cross multiply
    617.92x = 851.90 × 512.62
  4. Step 4: Simplify right side
    617.92x = 436,700.98
  5. Step 5: Solve for x
    x = 436,700.98/617.92
  6. Step 6: Final answer
    x = 706.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.