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Finding the Fourth Proportional to 1,481.69, 2,222.26 and 659.27

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Solution

The fourth proportional to 1,481.69, 2,222.26 and 659.27 is: 988.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.69 : 2,222.26 = 659.27 : x
  2. Step 2: Convert to fraction form
    1,481.69/2,222.26 = 659.27/x
  3. Step 3: Cross multiply
    1,481.69x = 2,222.26 × 659.27
  4. Step 4: Simplify right side
    1,481.69x = 1,465,056.59
  5. Step 5: Solve for x
    x = 1,465,056.59/1,481.69
  6. Step 6: Final answer
    x = 988.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.