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Finding the Fourth Proportional to 1,049.92, 1,448.04 and 769.84

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Solution

The fourth proportional to 1,049.92, 1,448.04 and 769.84 is: 1,061.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.92 : 1,448.04 = 769.84 : x
  2. Step 2: Convert to fraction form
    1,049.92/1,448.04 = 769.84/x
  3. Step 3: Cross multiply
    1,049.92x = 1,448.04 × 769.84
  4. Step 4: Simplify right side
    1,049.92x = 1,114,759.11
  5. Step 5: Solve for x
    x = 1,114,759.11/1,049.92
  6. Step 6: Final answer
    x = 1,061.76

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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.