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Finding the Fourth Proportional to 827.84, 1,141.94 and 516.80

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Solution

The fourth proportional to 827.84, 1,141.94 and 516.80 is: 712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.84 : 1,141.94 = 516.80 : x
  2. Step 2: Convert to fraction form
    827.84/1,141.94 = 516.80/x
  3. Step 3: Cross multiply
    827.84x = 1,141.94 × 516.80
  4. Step 4: Simplify right side
    827.84x = 590,150.86
  5. Step 5: Solve for x
    x = 590,150.86/827.84
  6. Step 6: Final answer
    x = 712.88

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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.