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Finding the Fourth Proportional to 1,227.28, 1,840.93 and 447.31

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Solution

The fourth proportional to 1,227.28, 1,840.93 and 447.31 is: 670.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.28 : 1,840.93 = 447.31 : x
  2. Step 2: Convert to fraction form
    1,227.28/1,840.93 = 447.31/x
  3. Step 3: Cross multiply
    1,227.28x = 1,840.93 × 447.31
  4. Step 4: Simplify right side
    1,227.28x = 823,467.82
  5. Step 5: Solve for x
    x = 823,467.82/1,227.28
  6. Step 6: Final answer
    x = 670.97

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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.