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Finding the Fourth Proportional to 867.89, 1,198.16 and 573.66

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Solution

The fourth proportional to 867.89, 1,198.16 and 573.66 is: 791.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.89 : 1,198.16 = 573.66 : x
  2. Step 2: Convert to fraction form
    867.89/1,198.16 = 573.66/x
  3. Step 3: Cross multiply
    867.89x = 1,198.16 × 573.66
  4. Step 4: Simplify right side
    867.89x = 687,333.60
  5. Step 5: Solve for x
    x = 687,333.60/867.89
  6. Step 6: Final answer
    x = 791.96

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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.