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Finding the Fourth Proportional to 1,067.38, 1,598.88 and 1,054.42

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Solution

The fourth proportional to 1,067.38, 1,598.88 and 1,054.42 is: 1,579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.38 : 1,598.88 = 1,054.42 : x
  2. Step 2: Convert to fraction form
    1,067.38/1,598.88 = 1,054.42/x
  3. Step 3: Cross multiply
    1,067.38x = 1,598.88 × 1,054.42
  4. Step 4: Simplify right side
    1,067.38x = 1,685,891.05
  5. Step 5: Solve for x
    x = 1,685,891.05/1,067.38
  6. Step 6: Final answer
    x = 1,579.47

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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.