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Finding the Fourth Proportional to 1,082.62, 1,625.76 and 1,027.13

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Solution

The fourth proportional to 1,082.62, 1,625.76 and 1,027.13 is: 1,542.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.62 : 1,625.76 = 1,027.13 : x
  2. Step 2: Convert to fraction form
    1,082.62/1,625.76 = 1,027.13/x
  3. Step 3: Cross multiply
    1,082.62x = 1,625.76 × 1,027.13
  4. Step 4: Simplify right side
    1,082.62x = 1,669,866.44
  5. Step 5: Solve for x
    x = 1,669,866.44/1,082.62
  6. Step 6: Final answer
    x = 1,542.44

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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.