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Finding the Fourth Proportional to 836.20, 1,251.60 and 771.40

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Solution

The fourth proportional to 836.20, 1,251.60 and 771.40 is: 1,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.20 : 1,251.60 = 771.40 : x
  2. Step 2: Convert to fraction form
    836.20/1,251.60 = 771.40/x
  3. Step 3: Cross multiply
    836.20x = 1,251.60 × 771.40
  4. Step 4: Simplify right side
    836.20x = 965,484.24
  5. Step 5: Solve for x
    x = 965,484.24/836.20
  6. Step 6: Final answer
    x = 1,154.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.