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Finding the Fourth Proportional to 837.88, 1,256.58 and 252.88

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Solution

The fourth proportional to 837.88, 1,256.58 and 252.88 is: 379.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.88 : 1,256.58 = 252.88 : x
  2. Step 2: Convert to fraction form
    837.88/1,256.58 = 252.88/x
  3. Step 3: Cross multiply
    837.88x = 1,256.58 × 252.88
  4. Step 4: Simplify right side
    837.88x = 317,757.67
  5. Step 5: Solve for x
    x = 317,757.67/837.88
  6. Step 6: Final answer
    x = 379.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.