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Finding the Fourth Proportional to 828.78, 1,243.15 and 341.86

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Solution

The fourth proportional to 828.78, 1,243.15 and 341.86 is: 512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.78 : 1,243.15 = 341.86 : x
  2. Step 2: Convert to fraction form
    828.78/1,243.15 = 341.86/x
  3. Step 3: Cross multiply
    828.78x = 1,243.15 × 341.86
  4. Step 4: Simplify right side
    828.78x = 424,983.26
  5. Step 5: Solve for x
    x = 424,983.26/828.78
  6. Step 6: Final answer
    x = 512.78

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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.