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Finding the Fourth Proportional to 889.45, 1,227.70 and 516.60

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Solution

The fourth proportional to 889.45, 1,227.70 and 516.60 is: 713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.45 : 1,227.70 = 516.60 : x
  2. Step 2: Convert to fraction form
    889.45/1,227.70 = 516.60/x
  3. Step 3: Cross multiply
    889.45x = 1,227.70 × 516.60
  4. Step 4: Simplify right side
    889.45x = 634,223.68
  5. Step 5: Solve for x
    x = 634,223.68/889.45
  6. Step 6: Final answer
    x = 713.05

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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.