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Finding the Fourth Proportional to 1,227.70, 1,842.09 and 650.44

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Solution

The fourth proportional to 1,227.70, 1,842.09 and 650.44 is: 975.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.70 : 1,842.09 = 650.44 : x
  2. Step 2: Convert to fraction form
    1,227.70/1,842.09 = 650.44/x
  3. Step 3: Cross multiply
    1,227.70x = 1,842.09 × 650.44
  4. Step 4: Simplify right side
    1,227.70x = 1,198,164.41
  5. Step 5: Solve for x
    x = 1,198,164.41/1,227.70
  6. Step 6: Final answer
    x = 975.94

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Why These Related Problems?

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