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Finding the Fourth Proportional to 1,072.24, 1,608.16 and 413.80

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Solution

The fourth proportional to 1,072.24, 1,608.16 and 413.80 is: 620.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.24 : 1,608.16 = 413.80 : x
  2. Step 2: Convert to fraction form
    1,072.24/1,608.16 = 413.80/x
  3. Step 3: Cross multiply
    1,072.24x = 1,608.16 × 413.80
  4. Step 4: Simplify right side
    1,072.24x = 665,456.61
  5. Step 5: Solve for x
    x = 665,456.61/1,072.24
  6. Step 6: Final answer
    x = 620.62

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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.