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Finding the Fourth Proportional to 838.02, 1,257.18 and 252.99

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Solution

The fourth proportional to 838.02, 1,257.18 and 252.99 is: 379.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.02 : 1,257.18 = 252.99 : x
  2. Step 2: Convert to fraction form
    838.02/1,257.18 = 252.99/x
  3. Step 3: Cross multiply
    838.02x = 1,257.18 × 252.99
  4. Step 4: Simplify right side
    838.02x = 318,053.97
  5. Step 5: Solve for x
    x = 318,053.97/838.02
  6. Step 6: Final answer
    x = 379.53

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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.