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Finding the Fourth Proportional to 834.80, 1,252.04 and 257.54

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Solution

The fourth proportional to 834.80, 1,252.04 and 257.54 is: 386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.80 : 1,252.04 = 257.54 : x
  2. Step 2: Convert to fraction form
    834.80/1,252.04 = 257.54/x
  3. Step 3: Cross multiply
    834.80x = 1,252.04 × 257.54
  4. Step 4: Simplify right side
    834.80x = 322,450.38
  5. Step 5: Solve for x
    x = 322,450.38/834.80
  6. Step 6: Final answer
    x = 386.26

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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.