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Finding the Fourth Proportional to 838.62, 1,257.73 and 318.69

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Solution

The fourth proportional to 838.62, 1,257.73 and 318.69 is: 477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.62 : 1,257.73 = 318.69 : x
  2. Step 2: Convert to fraction form
    838.62/1,257.73 = 318.69/x
  3. Step 3: Cross multiply
    838.62x = 1,257.73 × 318.69
  4. Step 4: Simplify right side
    838.62x = 400,825.18
  5. Step 5: Solve for x
    x = 400,825.18/838.62
  6. Step 6: Final answer
    x = 477.96

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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.