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Finding the Fourth Proportional to 1,227.78, 1,842.03 and 789.21

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Solution

The fourth proportional to 1,227.78, 1,842.03 and 789.21 is: 1,184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.78 : 1,842.03 = 789.21 : x
  2. Step 2: Convert to fraction form
    1,227.78/1,842.03 = 789.21/x
  3. Step 3: Cross multiply
    1,227.78x = 1,842.03 × 789.21
  4. Step 4: Simplify right side
    1,227.78x = 1,453,748.50
  5. Step 5: Solve for x
    x = 1,453,748.50/1,227.78
  6. Step 6: Final answer
    x = 1,184.05

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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.