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Finding the Fourth Proportional to 730.37, 1,096.02 and 405.97

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Solution

The fourth proportional to 730.37, 1,096.02 and 405.97 is: 609.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.37 : 1,096.02 = 405.97 : x
  2. Step 2: Convert to fraction form
    730.37/1,096.02 = 405.97/x
  3. Step 3: Cross multiply
    730.37x = 1,096.02 × 405.97
  4. Step 4: Simplify right side
    730.37x = 444,951.24
  5. Step 5: Solve for x
    x = 444,951.24/730.37
  6. Step 6: Final answer
    x = 609.21

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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.