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Finding the Fourth Proportional to 889.82, 1,227.60 and 516.73

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Solution

The fourth proportional to 889.82, 1,227.60 and 516.73 is: 712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.82 : 1,227.60 = 516.73 : x
  2. Step 2: Convert to fraction form
    889.82/1,227.60 = 516.73/x
  3. Step 3: Cross multiply
    889.82x = 1,227.60 × 516.73
  4. Step 4: Simplify right side
    889.82x = 634,334.68
  5. Step 5: Solve for x
    x = 634,334.68/889.82
  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.