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Finding the Fourth Proportional to 1,067.98, 1,599.39 and 884.02

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Solution

The fourth proportional to 1,067.98, 1,599.39 and 884.02 is: 1,323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.98 : 1,599.39 = 884.02 : x
  2. Step 2: Convert to fraction form
    1,067.98/1,599.39 = 884.02/x
  3. Step 3: Cross multiply
    1,067.98x = 1,599.39 × 884.02
  4. Step 4: Simplify right side
    1,067.98x = 1,413,892.75
  5. Step 5: Solve for x
    x = 1,413,892.75/1,067.98
  6. Step 6: Final answer
    x = 1,323.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.