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Finding the Fourth Proportional to 730.81, 1,096.67 and 406.41

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Solution

The fourth proportional to 730.81, 1,096.67 and 406.41 is: 609.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.81 : 1,096.67 = 406.41 : x
  2. Step 2: Convert to fraction form
    730.81/1,096.67 = 406.41/x
  3. Step 3: Cross multiply
    730.81x = 1,096.67 × 406.41
  4. Step 4: Simplify right side
    730.81x = 445,694.56
  5. Step 5: Solve for x
    x = 445,694.56/730.81
  6. Step 6: Final answer
    x = 609.86

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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.