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Finding the Fourth Proportional to 865.84, 1,194.24 and 550.80

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Solution

The fourth proportional to 865.84, 1,194.24 and 550.80 is: 759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.84 : 1,194.24 = 550.80 : x
  2. Step 2: Convert to fraction form
    865.84/1,194.24 = 550.80/x
  3. Step 3: Cross multiply
    865.84x = 1,194.24 × 550.80
  4. Step 4: Simplify right side
    865.84x = 657,789.46
  5. Step 5: Solve for x
    x = 657,789.46/865.84
  6. Step 6: Final answer
    x = 759.71

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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.