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Finding the Fourth Proportional to 827.72, 1,142.40 and 579.40

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Solution

The fourth proportional to 827.72, 1,142.40 and 579.40 is: 799.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.72 : 1,142.40 = 579.40 : x
  2. Step 2: Convert to fraction form
    827.72/1,142.40 = 579.40/x
  3. Step 3: Cross multiply
    827.72x = 1,142.40 × 579.40
  4. Step 4: Simplify right side
    827.72x = 661,912.30
  5. Step 5: Solve for x
    x = 661,912.30/827.72
  6. Step 6: Final answer
    x = 799.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.