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Finding the Fourth Proportional to 797.12, 1,195.67 and 241.82

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Solution

The fourth proportional to 797.12, 1,195.67 and 241.82 is: 362.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.12 : 1,195.67 = 241.82 : x
  2. Step 2: Convert to fraction form
    797.12/1,195.67 = 241.82/x
  3. Step 3: Cross multiply
    797.12x = 1,195.67 × 241.82
  4. Step 4: Simplify right side
    797.12x = 289,140.51
  5. Step 5: Solve for x
    x = 289,140.51/797.12
  6. Step 6: Final answer
    x = 362.73

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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.