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Finding the Fourth Proportional to 726.96, 1,003.16 and 416.56

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Solution

The fourth proportional to 726.96, 1,003.16 and 416.56 is: 574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.96 : 1,003.16 = 416.56 : x
  2. Step 2: Convert to fraction form
    726.96/1,003.16 = 416.56/x
  3. Step 3: Cross multiply
    726.96x = 1,003.16 × 416.56
  4. Step 4: Simplify right side
    726.96x = 417,876.33
  5. Step 5: Solve for x
    x = 417,876.33/726.96
  6. Step 6: Final answer
    x = 574.83

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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.