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Finding the Fourth Proportional to 834.00, 1,251.11 and 286.03

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Solution

The fourth proportional to 834.00, 1,251.11 and 286.03 is: 429.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.00 : 1,251.11 = 286.03 : x
  2. Step 2: Convert to fraction form
    834.00/1,251.11 = 286.03/x
  3. Step 3: Cross multiply
    834.00x = 1,251.11 × 286.03
  4. Step 4: Simplify right side
    834.00x = 357,856.07
  5. Step 5: Solve for x
    x = 357,856.07/834.00
  6. Step 6: Final answer
    x = 429.09

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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.