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Finding the Fourth Proportional to 901.22, 1,351.37 and 413.85

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Solution

The fourth proportional to 901.22, 1,351.37 and 413.85 is: 620.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.22 : 1,351.37 = 413.85 : x
  2. Step 2: Convert to fraction form
    901.22/1,351.37 = 413.85/x
  3. Step 3: Cross multiply
    901.22x = 1,351.37 × 413.85
  4. Step 4: Simplify right side
    901.22x = 559,262.41
  5. Step 5: Solve for x
    x = 559,262.41/901.22
  6. Step 6: Final answer
    x = 620.56

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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.