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Finding the Fourth Proportional to 1,329.34, 1,834.32 and 769.81

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Solution

The fourth proportional to 1,329.34, 1,834.32 and 769.81 is: 1,062.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.34 : 1,834.32 = 769.81 : x
  2. Step 2: Convert to fraction form
    1,329.34/1,834.32 = 769.81/x
  3. Step 3: Cross multiply
    1,329.34x = 1,834.32 × 769.81
  4. Step 4: Simplify right side
    1,329.34x = 1,412,077.88
  5. Step 5: Solve for x
    x = 1,412,077.88/1,329.34
  6. Step 6: Final answer
    x = 1,062.24

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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.