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Finding the Fourth Proportional to 735.22, 1,103.22 and 406.44

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Solution

The fourth proportional to 735.22, 1,103.22 and 406.44 is: 609.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.22 : 1,103.22 = 406.44 : x
  2. Step 2: Convert to fraction form
    735.22/1,103.22 = 406.44/x
  3. Step 3: Cross multiply
    735.22x = 1,103.22 × 406.44
  4. Step 4: Simplify right side
    735.22x = 448,392.74
  5. Step 5: Solve for x
    x = 448,392.74/735.22
  6. Step 6: Final answer
    x = 609.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.