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Finding the Fourth Proportional to 1,329.50, 1,834.57 and 769.92

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Solution

The fourth proportional to 1,329.50, 1,834.57 and 769.92 is: 1,062.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.50 : 1,834.57 = 769.92 : x
  2. Step 2: Convert to fraction form
    1,329.50/1,834.57 = 769.92/x
  3. Step 3: Cross multiply
    1,329.50x = 1,834.57 × 769.92
  4. Step 4: Simplify right side
    1,329.50x = 1,412,472.13
  5. Step 5: Solve for x
    x = 1,412,472.13/1,329.50
  6. Step 6: Final answer
    x = 1,062.41

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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.