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Finding the Fourth Proportional to 1,462.47, 2,194.11 and 769.11

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Solution

The fourth proportional to 1,462.47, 2,194.11 and 769.11 is: 1,153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.47 : 2,194.11 = 769.11 : x
  2. Step 2: Convert to fraction form
    1,462.47/2,194.11 = 769.11/x
  3. Step 3: Cross multiply
    1,462.47x = 2,194.11 × 769.11
  4. Step 4: Simplify right side
    1,462.47x = 1,687,511.94
  5. Step 5: Solve for x
    x = 1,687,511.94/1,462.47
  6. Step 6: Final answer
    x = 1,153.88

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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.