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Finding the Fourth Proportional to 834.73, 1,251.22 and 286.72

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Solution

The fourth proportional to 834.73, 1,251.22 and 286.72 is: 429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.73 : 1,251.22 = 286.72 : x
  2. Step 2: Convert to fraction form
    834.73/1,251.22 = 286.72/x
  3. Step 3: Cross multiply
    834.73x = 1,251.22 × 286.72
  4. Step 4: Simplify right side
    834.73x = 358,749.80
  5. Step 5: Solve for x
    x = 358,749.80/834.73
  6. Step 6: Final answer
    x = 429.78

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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.