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Finding the Fourth Proportional to 1,227.91, 1,842.09 and 406.78

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Solution

The fourth proportional to 1,227.91, 1,842.09 and 406.78 is: 610.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.91 : 1,842.09 = 406.78 : x
  2. Step 2: Convert to fraction form
    1,227.91/1,842.09 = 406.78/x
  3. Step 3: Cross multiply
    1,227.91x = 1,842.09 × 406.78
  4. Step 4: Simplify right side
    1,227.91x = 749,325.37
  5. Step 5: Solve for x
    x = 749,325.37/1,227.91
  6. Step 6: Final answer
    x = 610.24

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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.