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Finding the Fourth Proportional to 828.74, 1,243.35 and 827.30

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Solution

The fourth proportional to 828.74, 1,243.35 and 827.30 is: 1,241.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.74 : 1,243.35 = 827.30 : x
  2. Step 2: Convert to fraction form
    828.74/1,243.35 = 827.30/x
  3. Step 3: Cross multiply
    828.74x = 1,243.35 × 827.30
  4. Step 4: Simplify right side
    828.74x = 1,028,623.46
  5. Step 5: Solve for x
    x = 1,028,623.46/828.74
  6. Step 6: Final answer
    x = 1,241.19

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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.