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Finding the Fourth Proportional to 726.15, 1,001.97 and 415.65

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Solution

The fourth proportional to 726.15, 1,001.97 and 415.65 is: 573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.15 : 1,001.97 = 415.65 : x
  2. Step 2: Convert to fraction form
    726.15/1,001.97 = 415.65/x
  3. Step 3: Cross multiply
    726.15x = 1,001.97 × 415.65
  4. Step 4: Simplify right side
    726.15x = 416,468.83
  5. Step 5: Solve for x
    x = 416,468.83/726.15
  6. Step 6: Final answer
    x = 573.53

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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.