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Finding the Fourth Proportional to 730.26, 1,096.20 and 422.06

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Solution

The fourth proportional to 730.26, 1,096.20 and 422.06 is: 633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.26 : 1,096.20 = 422.06 : x
  2. Step 2: Convert to fraction form
    730.26/1,096.20 = 422.06/x
  3. Step 3: Cross multiply
    730.26x = 1,096.20 × 422.06
  4. Step 4: Simplify right side
    730.26x = 462,656.69
  5. Step 5: Solve for x
    x = 462,656.69/730.26
  6. Step 6: Final answer
    x = 633.55

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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.