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Finding the Fourth Proportional to 828.74, 1,243.10 and 341.82

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Solution

The fourth proportional to 828.74, 1,243.10 and 341.82 is: 512.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.74 : 1,243.10 = 341.82 : x
  2. Step 2: Convert to fraction form
    828.74/1,243.10 = 341.82/x
  3. Step 3: Cross multiply
    828.74x = 1,243.10 × 341.82
  4. Step 4: Simplify right side
    828.74x = 424,921.96
  5. Step 5: Solve for x
    x = 424,921.96/828.74
  6. Step 6: Final answer
    x = 512.74

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Why These Related Problems?

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