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Finding the Fourth Proportional to 834.62, 1,251.16 and 286.41

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Solution

The fourth proportional to 834.62, 1,251.16 and 286.41 is: 429.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.62 : 1,251.16 = 286.41 : x
  2. Step 2: Convert to fraction form
    834.62/1,251.16 = 286.41/x
  3. Step 3: Cross multiply
    834.62x = 1,251.16 × 286.41
  4. Step 4: Simplify right side
    834.62x = 358,348.71
  5. Step 5: Solve for x
    x = 358,348.71/834.62
  6. Step 6: Final answer
    x = 429.36

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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.