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Finding the Fourth Proportional to 730.71, 1,096.16 and 243.69

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Solution

The fourth proportional to 730.71, 1,096.16 and 243.69 is: 365.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.71 : 1,096.16 = 243.69 : x
  2. Step 2: Convert to fraction form
    730.71/1,096.16 = 243.69/x
  3. Step 3: Cross multiply
    730.71x = 1,096.16 × 243.69
  4. Step 4: Simplify right side
    730.71x = 267,122.01
  5. Step 5: Solve for x
    x = 267,122.01/730.71
  6. Step 6: Final answer
    x = 365.57

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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.