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Finding the Fourth Proportional to 726.72, 1,003.23 and 495.06

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Solution

The fourth proportional to 726.72, 1,003.23 and 495.06 is: 683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.72 : 1,003.23 = 495.06 : x
  2. Step 2: Convert to fraction form
    726.72/1,003.23 = 495.06/x
  3. Step 3: Cross multiply
    726.72x = 1,003.23 × 495.06
  4. Step 4: Simplify right side
    726.72x = 496,659.04
  5. Step 5: Solve for x
    x = 496,659.04/726.72
  6. Step 6: Final answer
    x = 683.43

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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.