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Finding the Fourth Proportional to 730.85, 1,096.58 and 406.44

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Solution

The fourth proportional to 730.85, 1,096.58 and 406.44 is: 609.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.85 : 1,096.58 = 406.44 : x
  2. Step 2: Convert to fraction form
    730.85/1,096.58 = 406.44/x
  3. Step 3: Cross multiply
    730.85x = 1,096.58 × 406.44
  4. Step 4: Simplify right side
    730.85x = 445,694.99
  5. Step 5: Solve for x
    x = 445,694.99/730.85
  6. Step 6: Final answer
    x = 609.84

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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.