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Finding the Fourth Proportional to 889.50, 1,227.69 and 516.56

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Solution

The fourth proportional to 889.50, 1,227.69 and 516.56 is: 712.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.50 : 1,227.69 = 516.56 : x
  2. Step 2: Convert to fraction form
    889.50/1,227.69 = 516.56/x
  3. Step 3: Cross multiply
    889.50x = 1,227.69 × 516.56
  4. Step 4: Simplify right side
    889.50x = 634,175.55
  5. Step 5: Solve for x
    x = 634,175.55/889.50
  6. Step 6: Final answer
    x = 712.96

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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.