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Finding the Fourth Proportional to 997.92, 1,377.57 and 599.76

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Solution

The fourth proportional to 997.92, 1,377.57 and 599.76 is: 827.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.92 : 1,377.57 = 599.76 : x
  2. Step 2: Convert to fraction form
    997.92/1,377.57 = 599.76/x
  3. Step 3: Cross multiply
    997.92x = 1,377.57 × 599.76
  4. Step 4: Simplify right side
    997.92x = 826,211.38
  5. Step 5: Solve for x
    x = 826,211.38/997.92
  6. Step 6: Final answer
    x = 827.93

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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.