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Finding the Fourth Proportional to 1,092.57, 1,638.84 and 769.38

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Solution

The fourth proportional to 1,092.57, 1,638.84 and 769.38 is: 1,154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.57 : 1,638.84 = 769.38 : x
  2. Step 2: Convert to fraction form
    1,092.57/1,638.84 = 769.38/x
  3. Step 3: Cross multiply
    1,092.57x = 1,638.84 × 769.38
  4. Step 4: Simplify right side
    1,092.57x = 1,260,890.72
  5. Step 5: Solve for x
    x = 1,260,890.72/1,092.57
  6. Step 6: Final answer
    x = 1,154.06

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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.