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Finding the Fourth Proportional to 828.97, 1,243.08 and 281.21

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Solution

The fourth proportional to 828.97, 1,243.08 and 281.21 is: 421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.97 : 1,243.08 = 281.21 : x
  2. Step 2: Convert to fraction form
    828.97/1,243.08 = 281.21/x
  3. Step 3: Cross multiply
    828.97x = 1,243.08 × 281.21
  4. Step 4: Simplify right side
    828.97x = 349,560.31
  5. Step 5: Solve for x
    x = 349,560.31/828.97
  6. Step 6: Final answer
    x = 421.68

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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.