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Finding the Fourth Proportional to 889.72, 1,227.84 and 516.64

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Solution

The fourth proportional to 889.72, 1,227.84 and 516.64 is: 712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.72 : 1,227.84 = 516.64 : x
  2. Step 2: Convert to fraction form
    889.72/1,227.84 = 516.64/x
  3. Step 3: Cross multiply
    889.72x = 1,227.84 × 516.64
  4. Step 4: Simplify right side
    889.72x = 634,351.26
  5. Step 5: Solve for x
    x = 634,351.26/889.72
  6. Step 6: Final answer
    x = 712.98

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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.