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Finding the Fourth Proportional to 869.98, 1,200.57 and 516.14

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Solution

The fourth proportional to 869.98, 1,200.57 and 516.14 is: 712.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.98 : 1,200.57 = 516.14 : x
  2. Step 2: Convert to fraction form
    869.98/1,200.57 = 516.14/x
  3. Step 3: Cross multiply
    869.98x = 1,200.57 × 516.14
  4. Step 4: Simplify right side
    869.98x = 619,663.27
  5. Step 5: Solve for x
    x = 619,663.27/869.98
  6. Step 6: Final answer
    x = 712.28

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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.