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Finding the Fourth Proportional to 827.98, 1,142.18 and 516.94

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Solution

The fourth proportional to 827.98, 1,142.18 and 516.94 is: 713.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.98 : 1,142.18 = 516.94 : x
  2. Step 2: Convert to fraction form
    827.98/1,142.18 = 516.94/x
  3. Step 3: Cross multiply
    827.98x = 1,142.18 × 516.94
  4. Step 4: Simplify right side
    827.98x = 590,438.53
  5. Step 5: Solve for x
    x = 590,438.53/827.98
  6. Step 6: Final answer
    x = 713.11

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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.