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Finding the Fourth Proportional to 1,107.92, 1,661.46 and 449.80

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Solution

The fourth proportional to 1,107.92, 1,661.46 and 449.80 is: 674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.92 : 1,661.46 = 449.80 : x
  2. Step 2: Convert to fraction form
    1,107.92/1,661.46 = 449.80/x
  3. Step 3: Cross multiply
    1,107.92x = 1,661.46 × 449.80
  4. Step 4: Simplify right side
    1,107.92x = 747,318.87
  5. Step 5: Solve for x
    x = 747,318.87/1,107.92
  6. Step 6: Final answer
    x = 674.52

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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.