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Finding the Fourth Proportional to 726.81, 1,002.20 and 540.65

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Solution

The fourth proportional to 726.81, 1,002.20 and 540.65 is: 745.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.81 : 1,002.20 = 540.65 : x
  2. Step 2: Convert to fraction form
    726.81/1,002.20 = 540.65/x
  3. Step 3: Cross multiply
    726.81x = 1,002.20 × 540.65
  4. Step 4: Simplify right side
    726.81x = 541,831.72
  5. Step 5: Solve for x
    x = 541,831.72/726.81
  6. Step 6: Final answer
    x = 745.49

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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.