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Finding the Fourth Proportional to 834.40, 1,251.74 and 286.54

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Solution

The fourth proportional to 834.40, 1,251.74 and 286.54 is: 429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.40 : 1,251.74 = 286.54 : x
  2. Step 2: Convert to fraction form
    834.40/1,251.74 = 286.54/x
  3. Step 3: Cross multiply
    834.40x = 1,251.74 × 286.54
  4. Step 4: Simplify right side
    834.40x = 358,665.89
  5. Step 5: Solve for x
    x = 358,665.89/834.40
  6. Step 6: Final answer
    x = 429.85

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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.