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Finding the Fourth Proportional to 819.72, 1,229.57 and 490.75

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Solution

The fourth proportional to 819.72, 1,229.57 and 490.75 is: 736.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.72 : 1,229.57 = 490.75 : x
  2. Step 2: Convert to fraction form
    819.72/1,229.57 = 490.75/x
  3. Step 3: Cross multiply
    819.72x = 1,229.57 × 490.75
  4. Step 4: Simplify right side
    819.72x = 603,413.63
  5. Step 5: Solve for x
    x = 603,413.63/819.72
  6. Step 6: Final answer
    x = 736.12

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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.