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Finding the Fourth Proportional to 834.87, 1,252.39 and 286.93

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Solution

The fourth proportional to 834.87, 1,252.39 and 286.93 is: 430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.87 : 1,252.39 = 286.93 : x
  2. Step 2: Convert to fraction form
    834.87/1,252.39 = 286.93/x
  3. Step 3: Cross multiply
    834.87x = 1,252.39 × 286.93
  4. Step 4: Simplify right side
    834.87x = 359,348.26
  5. Step 5: Solve for x
    x = 359,348.26/834.87
  6. Step 6: Final answer
    x = 430.42

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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.