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Finding the Fourth Proportional to 834.78, 1,252.24 and 257.66

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Solution

The fourth proportional to 834.78, 1,252.24 and 257.66 is: 386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.78 : 1,252.24 = 257.66 : x
  2. Step 2: Convert to fraction form
    834.78/1,252.24 = 257.66/x
  3. Step 3: Cross multiply
    834.78x = 1,252.24 × 257.66
  4. Step 4: Simplify right side
    834.78x = 322,652.16
  5. Step 5: Solve for x
    x = 322,652.16/834.78
  6. Step 6: Final answer
    x = 386.51

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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.