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Finding the Fourth Proportional to 730.78, 1,096.22 and 243.90

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Solution

The fourth proportional to 730.78, 1,096.22 and 243.90 is: 365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.78 : 1,096.22 = 243.90 : x
  2. Step 2: Convert to fraction form
    730.78/1,096.22 = 243.90/x
  3. Step 3: Cross multiply
    730.78x = 1,096.22 × 243.90
  4. Step 4: Simplify right side
    730.78x = 267,368.06
  5. Step 5: Solve for x
    x = 267,368.06/730.78
  6. Step 6: Final answer
    x = 365.87

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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.