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Finding the Fourth Proportional to 854.82, 1,179.64 and 481.84

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Solution

The fourth proportional to 854.82, 1,179.64 and 481.84 is: 664.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.82 : 1,179.64 = 481.84 : x
  2. Step 2: Convert to fraction form
    854.82/1,179.64 = 481.84/x
  3. Step 3: Cross multiply
    854.82x = 1,179.64 × 481.84
  4. Step 4: Simplify right side
    854.82x = 568,395.39
  5. Step 5: Solve for x
    x = 568,395.39/854.82
  6. Step 6: Final answer
    x = 664.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.