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Finding the Fourth Proportional to 834.53, 1,251.81 and 314.69

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Solution

The fourth proportional to 834.53, 1,251.81 and 314.69 is: 472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.53 : 1,251.81 = 314.69 : x
  2. Step 2: Convert to fraction form
    834.53/1,251.81 = 314.69/x
  3. Step 3: Cross multiply
    834.53x = 1,251.81 × 314.69
  4. Step 4: Simplify right side
    834.53x = 393,925.83
  5. Step 5: Solve for x
    x = 393,925.83/834.53
  6. Step 6: Final answer
    x = 472.04

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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.