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Finding the Fourth Proportional to 834.76, 1,251.89 and 314.38

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Solution

The fourth proportional to 834.76, 1,251.89 and 314.38 is: 471.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.76 : 1,251.89 = 314.38 : x
  2. Step 2: Convert to fraction form
    834.76/1,251.89 = 314.38/x
  3. Step 3: Cross multiply
    834.76x = 1,251.89 × 314.38
  4. Step 4: Simplify right side
    834.76x = 393,574.66
  5. Step 5: Solve for x
    x = 393,574.66/834.76
  6. Step 6: Final answer
    x = 471.48

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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.