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Finding the Fourth Proportional to 889.67, 1,227.45 and 516.52

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Solution

The fourth proportional to 889.67, 1,227.45 and 516.52 is: 712.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.67 : 1,227.45 = 516.52 : x
  2. Step 2: Convert to fraction form
    889.67/1,227.45 = 516.52/x
  3. Step 3: Cross multiply
    889.67x = 1,227.45 × 516.52
  4. Step 4: Simplify right side
    889.67x = 633,993.75
  5. Step 5: Solve for x
    x = 633,993.75/889.67
  6. Step 6: Final answer
    x = 712.62

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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.