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Finding the Fourth Proportional to 834.14, 1,251.01 and 257.02

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Solution

The fourth proportional to 834.14, 1,251.01 and 257.02 is: 385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.14 : 1,251.01 = 257.02 : x
  2. Step 2: Convert to fraction form
    834.14/1,251.01 = 257.02/x
  3. Step 3: Cross multiply
    834.14x = 1,251.01 × 257.02
  4. Step 4: Simplify right side
    834.14x = 321,534.59
  5. Step 5: Solve for x
    x = 321,534.59/834.14
  6. Step 6: Final answer
    x = 385.47

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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.