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Finding the Fourth Proportional to 889.16, 1,227.30 and 516.23

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Solution

The fourth proportional to 889.16, 1,227.30 and 516.23 is: 712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.16 : 1,227.30 = 516.23 : x
  2. Step 2: Convert to fraction form
    889.16/1,227.30 = 516.23/x
  3. Step 3: Cross multiply
    889.16x = 1,227.30 × 516.23
  4. Step 4: Simplify right side
    889.16x = 633,562.94
  5. Step 5: Solve for x
    x = 633,562.94/889.16
  6. Step 6: Final answer
    x = 712.54

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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.