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Finding the Fourth Proportional to 997.82, 1,495.87 and 381.11

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Solution

The fourth proportional to 997.82, 1,495.87 and 381.11 is: 571.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.82 : 1,495.87 = 381.11 : x
  2. Step 2: Convert to fraction form
    997.82/1,495.87 = 381.11/x
  3. Step 3: Cross multiply
    997.82x = 1,495.87 × 381.11
  4. Step 4: Simplify right side
    997.82x = 570,082.58
  5. Step 5: Solve for x
    x = 570,082.58/997.82
  6. Step 6: Final answer
    x = 571.33

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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.