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Finding the Fourth Proportional to 726.85, 1,003.19 and 490.79

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Solution

The fourth proportional to 726.85, 1,003.19 and 490.79 is: 677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.85 : 1,003.19 = 490.79 : x
  2. Step 2: Convert to fraction form
    726.85/1,003.19 = 490.79/x
  3. Step 3: Cross multiply
    726.85x = 1,003.19 × 490.79
  4. Step 4: Simplify right side
    726.85x = 492,353.17
  5. Step 5: Solve for x
    x = 492,353.17/726.85
  6. Step 6: Final answer
    x = 677.38

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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.