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Finding the Fourth Proportional to 726.25, 1,002.23 and 415.75

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Solution

The fourth proportional to 726.25, 1,002.23 and 415.75 is: 573.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.25 : 1,002.23 = 415.75 : x
  2. Step 2: Convert to fraction form
    726.25/1,002.23 = 415.75/x
  3. Step 3: Cross multiply
    726.25x = 1,002.23 × 415.75
  4. Step 4: Simplify right side
    726.25x = 416,677.12
  5. Step 5: Solve for x
    x = 416,677.12/726.25
  6. Step 6: Final answer
    x = 573.74

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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.