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Finding the Fourth Proportional to 837.20, 1,255.80 and 822.80

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Solution

The fourth proportional to 837.20, 1,255.80 and 822.80 is: 1,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.20 : 1,255.80 = 822.80 : x
  2. Step 2: Convert to fraction form
    837.20/1,255.80 = 822.80/x
  3. Step 3: Cross multiply
    837.20x = 1,255.80 × 822.80
  4. Step 4: Simplify right side
    837.20x = 1,033,272.24
  5. Step 5: Solve for x
    x = 1,033,272.24/837.20
  6. Step 6: Final answer
    x = 1,234.20

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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.