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Finding the Fourth Proportional to 726.12, 1,001.82 and 415.56

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Solution

The fourth proportional to 726.12, 1,001.82 and 415.56 is: 573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.12 : 1,001.82 = 415.56 : x
  2. Step 2: Convert to fraction form
    726.12/1,001.82 = 415.56/x
  3. Step 3: Cross multiply
    726.12x = 1,001.82 × 415.56
  4. Step 4: Simplify right side
    726.12x = 416,316.32
  5. Step 5: Solve for x
    x = 416,316.32/726.12
  6. Step 6: Final answer
    x = 573.34

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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.