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Finding the Fourth Proportional to 1,227.26, 1,840.65 and 361.34

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Solution

The fourth proportional to 1,227.26, 1,840.65 and 361.34 is: 541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.26 : 1,840.65 = 361.34 : x
  2. Step 2: Convert to fraction form
    1,227.26/1,840.65 = 361.34/x
  3. Step 3: Cross multiply
    1,227.26x = 1,840.65 × 361.34
  4. Step 4: Simplify right side
    1,227.26x = 665,100.47
  5. Step 5: Solve for x
    x = 665,100.47/1,227.26
  6. Step 6: Final answer
    x = 541.94

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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.