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Finding the Fourth Proportional to 834.14, 1,251.33 and 286.17

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Solution

The fourth proportional to 834.14, 1,251.33 and 286.17 is: 429.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.14 : 1,251.33 = 286.17 : x
  2. Step 2: Convert to fraction form
    834.14/1,251.33 = 286.17/x
  3. Step 3: Cross multiply
    834.14x = 1,251.33 × 286.17
  4. Step 4: Simplify right side
    834.14x = 358,094.38
  5. Step 5: Solve for x
    x = 358,094.38/834.14
  6. Step 6: Final answer
    x = 429.30

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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.