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Finding the Fourth Proportional to 889.56, 1,227.65 and 516.56

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Solution

The fourth proportional to 889.56, 1,227.65 and 516.56 is: 712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.56 : 1,227.65 = 516.56 : x
  2. Step 2: Convert to fraction form
    889.56/1,227.65 = 516.56/x
  3. Step 3: Cross multiply
    889.56x = 1,227.65 × 516.56
  4. Step 4: Simplify right side
    889.56x = 634,146.16
  5. Step 5: Solve for x
    x = 634,146.16/889.56
  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.