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Finding the Fourth Proportional to 827.73, 1,142.02 and 513.22

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Solution

The fourth proportional to 827.73, 1,142.02 and 513.22 is: 708.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.73 : 1,142.02 = 513.22 : x
  2. Step 2: Convert to fraction form
    827.73/1,142.02 = 513.22/x
  3. Step 3: Cross multiply
    827.73x = 1,142.02 × 513.22
  4. Step 4: Simplify right side
    827.73x = 586,107.50
  5. Step 5: Solve for x
    x = 586,107.50/827.73
  6. Step 6: Final answer
    x = 708.09

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Why These Related Problems?

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