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Finding the Fourth Proportional to 827.11, 1,141.19 and 512.23

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Solution

The fourth proportional to 827.11, 1,141.19 and 512.23 is: 706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.11 : 1,141.19 = 512.23 : x
  2. Step 2: Convert to fraction form
    827.11/1,141.19 = 512.23/x
  3. Step 3: Cross multiply
    827.11x = 1,141.19 × 512.23
  4. Step 4: Simplify right side
    827.11x = 584,543.49
  5. Step 5: Solve for x
    x = 584,543.49/827.11
  6. Step 6: Final answer
    x = 706.73

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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.