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Finding the Fourth Proportional to 837.93, 1,257.07 and 252.97

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Solution

The fourth proportional to 837.93, 1,257.07 and 252.97 is: 379.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.93 : 1,257.07 = 252.97 : x
  2. Step 2: Convert to fraction form
    837.93/1,257.07 = 252.97/x
  3. Step 3: Cross multiply
    837.93x = 1,257.07 × 252.97
  4. Step 4: Simplify right side
    837.93x = 318,004.77
  5. Step 5: Solve for x
    x = 318,004.77/837.93
  6. Step 6: Final answer
    x = 379.51

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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.