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Finding the Fourth Proportional to 837.22, 1,251.20 and 771.54

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Solution

The fourth proportional to 837.22, 1,251.20 and 771.54 is: 1,153.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.22 : 1,251.20 = 771.54 : x
  2. Step 2: Convert to fraction form
    837.22/1,251.20 = 771.54/x
  3. Step 3: Cross multiply
    837.22x = 1,251.20 × 771.54
  4. Step 4: Simplify right side
    837.22x = 965,350.85
  5. Step 5: Solve for x
    x = 965,350.85/837.22
  6. Step 6: Final answer
    x = 1,153.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.