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Finding the Fourth Proportional to 834.28, 1,244.34 and 819.70

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Solution

The fourth proportional to 834.28, 1,244.34 and 819.70 is: 1,222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.28 : 1,244.34 = 819.70 : x
  2. Step 2: Convert to fraction form
    834.28/1,244.34 = 819.70/x
  3. Step 3: Cross multiply
    834.28x = 1,244.34 × 819.70
  4. Step 4: Simplify right side
    834.28x = 1,019,985.50
  5. Step 5: Solve for x
    x = 1,019,985.50/834.28
  6. Step 6: Final answer
    x = 1,222.59

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