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Finding the Fourth Proportional to 726.65, 1,002.78 and 395.09

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Solution

The fourth proportional to 726.65, 1,002.78 and 395.09 is: 545.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.65 : 1,002.78 = 395.09 : x
  2. Step 2: Convert to fraction form
    726.65/1,002.78 = 395.09/x
  3. Step 3: Cross multiply
    726.65x = 1,002.78 × 395.09
  4. Step 4: Simplify right side
    726.65x = 396,187.10
  5. Step 5: Solve for x
    x = 396,187.10/726.65
  6. Step 6: Final answer
    x = 545.23

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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.