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Finding the Fourth Proportional to 735.05, 1,101.82 and 324.11

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Solution

The fourth proportional to 735.05, 1,101.82 and 324.11 is: 485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.05 : 1,101.82 = 324.11 : x
  2. Step 2: Convert to fraction form
    735.05/1,101.82 = 324.11/x
  3. Step 3: Cross multiply
    735.05x = 1,101.82 × 324.11
  4. Step 4: Simplify right side
    735.05x = 357,110.88
  5. Step 5: Solve for x
    x = 357,110.88/735.05
  6. Step 6: Final answer
    x = 485.83

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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.