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Finding the Fourth Proportional to 834.78, 1,252.22 and 314.92

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Solution

The fourth proportional to 834.78, 1,252.22 and 314.92 is: 472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.78 : 1,252.22 = 314.92 : x
  2. Step 2: Convert to fraction form
    834.78/1,252.22 = 314.92/x
  3. Step 3: Cross multiply
    834.78x = 1,252.22 × 314.92
  4. Step 4: Simplify right side
    834.78x = 394,349.12
  5. Step 5: Solve for x
    x = 394,349.12/834.78
  6. Step 6: Final answer
    x = 472.40

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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.