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Finding the Fourth Proportional to 1,227.81, 1,842.09 and 362.13

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Solution

The fourth proportional to 1,227.81, 1,842.09 and 362.13 is: 543.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.81 : 1,842.09 = 362.13 : x
  2. Step 2: Convert to fraction form
    1,227.81/1,842.09 = 362.13/x
  3. Step 3: Cross multiply
    1,227.81x = 1,842.09 × 362.13
  4. Step 4: Simplify right side
    1,227.81x = 667,076.05
  5. Step 5: Solve for x
    x = 667,076.05/1,227.81
  6. Step 6: Final answer
    x = 543.31

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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.