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Finding the Fourth Proportional to 828.41, 1,242.76 and 411.97

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Solution

The fourth proportional to 828.41, 1,242.76 and 411.97 is: 618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.41 : 1,242.76 = 411.97 : x
  2. Step 2: Convert to fraction form
    828.41/1,242.76 = 411.97/x
  3. Step 3: Cross multiply
    828.41x = 1,242.76 × 411.97
  4. Step 4: Simplify right side
    828.41x = 511,978.80
  5. Step 5: Solve for x
    x = 511,978.80/828.41
  6. Step 6: Final answer
    x = 618.03

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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.