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Finding the Fourth Proportional to 730.81, 1,096.32 and 243.74

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Solution

The fourth proportional to 730.81, 1,096.32 and 243.74 is: 365.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.81 : 1,096.32 = 243.74 : x
  2. Step 2: Convert to fraction form
    730.81/1,096.32 = 243.74/x
  3. Step 3: Cross multiply
    730.81x = 1,096.32 × 243.74
  4. Step 4: Simplify right side
    730.81x = 267,217.04
  5. Step 5: Solve for x
    x = 267,217.04/730.81
  6. Step 6: Final answer
    x = 365.65

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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.