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Finding the Fourth Proportional to 1,169.20, 1,754.67 and 731.09

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Solution

The fourth proportional to 1,169.20, 1,754.67 and 731.09 is: 1,097.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.20 : 1,754.67 = 731.09 : x
  2. Step 2: Convert to fraction form
    1,169.20/1,754.67 = 731.09/x
  3. Step 3: Cross multiply
    1,169.20x = 1,754.67 × 731.09
  4. Step 4: Simplify right side
    1,169.20x = 1,282,821.69
  5. Step 5: Solve for x
    x = 1,282,821.69/1,169.20
  6. Step 6: Final answer
    x = 1,097.18

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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.