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Finding the Fourth Proportional to 730.81, 1,096.27 and 243.86

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Solution

The fourth proportional to 730.81, 1,096.27 and 243.86 is: 365.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.81 : 1,096.27 = 243.86 : x
  2. Step 2: Convert to fraction form
    730.81/1,096.27 = 243.86/x
  3. Step 3: Cross multiply
    730.81x = 1,096.27 × 243.86
  4. Step 4: Simplify right side
    730.81x = 267,333.05
  5. Step 5: Solve for x
    x = 267,333.05/730.81
  6. Step 6: Final answer
    x = 365.81

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Double scale
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1.5x scale

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.