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Finding the Fourth Proportional to 834.32, 1,251.63 and 257.06

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Solution

The fourth proportional to 834.32, 1,251.63 and 257.06 is: 385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.32 : 1,251.63 = 257.06 : x
  2. Step 2: Convert to fraction form
    834.32/1,251.63 = 257.06/x
  3. Step 3: Cross multiply
    834.32x = 1,251.63 × 257.06
  4. Step 4: Simplify right side
    834.32x = 321,747.14
  5. Step 5: Solve for x
    x = 321,747.14/834.32
  6. Step 6: Final answer
    x = 385.64

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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.