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Finding the Fourth Proportional to 889.66, 1,227.73 and 516.85

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Solution

The fourth proportional to 889.66, 1,227.73 and 516.85 is: 713.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.66 : 1,227.73 = 516.85 : x
  2. Step 2: Convert to fraction form
    889.66/1,227.73 = 516.85/x
  3. Step 3: Cross multiply
    889.66x = 1,227.73 × 516.85
  4. Step 4: Simplify right side
    889.66x = 634,554.03
  5. Step 5: Solve for x
    x = 634,554.03/889.66
  6. Step 6: Final answer
    x = 713.26

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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.