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Finding the Fourth Proportional to 730.61, 1,096.09 and 243.71

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Solution

The fourth proportional to 730.61, 1,096.09 and 243.71 is: 365.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.61 : 1,096.09 = 243.71 : x
  2. Step 2: Convert to fraction form
    730.61/1,096.09 = 243.71/x
  3. Step 3: Cross multiply
    730.61x = 1,096.09 × 243.71
  4. Step 4: Simplify right side
    730.61x = 267,128.09
  5. Step 5: Solve for x
    x = 267,128.09/730.61
  6. Step 6: Final answer
    x = 365.62

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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.