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Finding the Fourth Proportional to 825.26, 1,238.11 and 413.90

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Solution

The fourth proportional to 825.26, 1,238.11 and 413.90 is: 620.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.26 : 1,238.11 = 413.90 : x
  2. Step 2: Convert to fraction form
    825.26/1,238.11 = 413.90/x
  3. Step 3: Cross multiply
    825.26x = 1,238.11 × 413.90
  4. Step 4: Simplify right side
    825.26x = 512,447.54
  5. Step 5: Solve for x
    x = 512,447.54/825.26
  6. Step 6: Final answer
    x = 620.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.