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Finding the Fourth Proportional to 730.76, 1,096.20 and 243.82

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Solution

The fourth proportional to 730.76, 1,096.20 and 243.82 is: 365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.76 : 1,096.20 = 243.82 : x
  2. Step 2: Convert to fraction form
    730.76/1,096.20 = 243.82/x
  3. Step 3: Cross multiply
    730.76x = 1,096.20 × 243.82
  4. Step 4: Simplify right side
    730.76x = 267,275.48
  5. Step 5: Solve for x
    x = 267,275.48/730.76
  6. Step 6: Final answer
    x = 365.75

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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.