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Finding the Fourth Proportional to 827.40, 1,141.34 and 512.43

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Solution

The fourth proportional to 827.40, 1,141.34 and 512.43 is: 706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.40 : 1,141.34 = 512.43 : x
  2. Step 2: Convert to fraction form
    827.40/1,141.34 = 512.43/x
  3. Step 3: Cross multiply
    827.40x = 1,141.34 × 512.43
  4. Step 4: Simplify right side
    827.40x = 584,854.29
  5. Step 5: Solve for x
    x = 584,854.29/827.40
  6. Step 6: Final answer
    x = 706.86

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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.