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Finding the Fourth Proportional to 828.89, 1,243.31 and 273.68

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Solution

The fourth proportional to 828.89, 1,243.31 and 273.68 is: 410.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.89 : 1,243.31 = 273.68 : x
  2. Step 2: Convert to fraction form
    828.89/1,243.31 = 273.68/x
  3. Step 3: Cross multiply
    828.89x = 1,243.31 × 273.68
  4. Step 4: Simplify right side
    828.89x = 340,263.55
  5. Step 5: Solve for x
    x = 340,263.55/828.89
  6. Step 6: Final answer
    x = 410.51

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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.