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Finding the Fourth Proportional to 1,067.26, 1,599.81 and 417.10

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Solution

The fourth proportional to 1,067.26, 1,599.81 and 417.10 is: 625.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.26 : 1,599.81 = 417.10 : x
  2. Step 2: Convert to fraction form
    1,067.26/1,599.81 = 417.10/x
  3. Step 3: Cross multiply
    1,067.26x = 1,599.81 × 417.10
  4. Step 4: Simplify right side
    1,067.26x = 667,280.75
  5. Step 5: Solve for x
    x = 667,280.75/1,067.26
  6. Step 6: Final answer
    x = 625.23

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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.