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Finding the Fourth Proportional to 730.82, 1,096.41 and 243.91

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Solution

The fourth proportional to 730.82, 1,096.41 and 243.91 is: 365.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.82 : 1,096.41 = 243.91 : x
  2. Step 2: Convert to fraction form
    730.82/1,096.41 = 243.91/x
  3. Step 3: Cross multiply
    730.82x = 1,096.41 × 243.91
  4. Step 4: Simplify right side
    730.82x = 267,422.01
  5. Step 5: Solve for x
    x = 267,422.01/730.82
  6. Step 6: Final answer
    x = 365.92

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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.