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Finding the Fourth Proportional to 730.81, 1,096.91 and 269.03

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Solution

The fourth proportional to 730.81, 1,096.91 and 269.03 is: 403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.81 : 1,096.91 = 269.03 : x
  2. Step 2: Convert to fraction form
    730.81/1,096.91 = 269.03/x
  3. Step 3: Cross multiply
    730.81x = 1,096.91 × 269.03
  4. Step 4: Simplify right side
    730.81x = 295,100.35
  5. Step 5: Solve for x
    x = 295,100.35/730.81
  6. Step 6: Final answer
    x = 403.80

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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.