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Finding the Fourth Proportional to 712.52, 1,067.66 and 550.60

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Solution

The fourth proportional to 712.52, 1,067.66 and 550.60 is: 825.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.52 : 1,067.66 = 550.60 : x
  2. Step 2: Convert to fraction form
    712.52/1,067.66 = 550.60/x
  3. Step 3: Cross multiply
    712.52x = 1,067.66 × 550.60
  4. Step 4: Simplify right side
    712.52x = 587,853.60
  5. Step 5: Solve for x
    x = 587,853.60/712.52
  6. Step 6: Final answer
    x = 825.03

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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.