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Finding the Fourth Proportional to 834.78, 1,251.83 and 286.81

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Solution

The fourth proportional to 834.78, 1,251.83 and 286.81 is: 430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.78 : 1,251.83 = 286.81 : x
  2. Step 2: Convert to fraction form
    834.78/1,251.83 = 286.81/x
  3. Step 3: Cross multiply
    834.78x = 1,251.83 × 286.81
  4. Step 4: Simplify right side
    834.78x = 359,035.93
  5. Step 5: Solve for x
    x = 359,035.93/834.78
  6. Step 6: Final answer
    x = 430.10

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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.