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Finding the Fourth Proportional to 1,375.46, 2,061.77 and 726.65

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Solution

The fourth proportional to 1,375.46, 2,061.77 and 726.65 is: 1,089.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.46 : 2,061.77 = 726.65 : x
  2. Step 2: Convert to fraction form
    1,375.46/2,061.77 = 726.65/x
  3. Step 3: Cross multiply
    1,375.46x = 2,061.77 × 726.65
  4. Step 4: Simplify right side
    1,375.46x = 1,498,171.23
  5. Step 5: Solve for x
    x = 1,498,171.23/1,375.46
  6. Step 6: Final answer
    x = 1,089.22

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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.