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Finding the Fourth Proportional to 828.75, 1,243.22 and 341.73

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Solution

The fourth proportional to 828.75, 1,243.22 and 341.73 is: 512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.75 : 1,243.22 = 341.73 : x
  2. Step 2: Convert to fraction form
    828.75/1,243.22 = 341.73/x
  3. Step 3: Cross multiply
    828.75x = 1,243.22 × 341.73
  4. Step 4: Simplify right side
    828.75x = 424,845.57
  5. Step 5: Solve for x
    x = 424,845.57/828.75
  6. Step 6: Final answer
    x = 512.63

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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.