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Finding the Fourth Proportional to 726.86, 1,003.05 and 395.27

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Solution

The fourth proportional to 726.86, 1,003.05 and 395.27 is: 545.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.86 : 1,003.05 = 395.27 : x
  2. Step 2: Convert to fraction form
    726.86/1,003.05 = 395.27/x
  3. Step 3: Cross multiply
    726.86x = 1,003.05 × 395.27
  4. Step 4: Simplify right side
    726.86x = 396,470.56
  5. Step 5: Solve for x
    x = 396,470.56/726.86
  6. Step 6: Final answer
    x = 545.46

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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.