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Finding the Fourth Proportional to 1,067.24, 1,599.34 and 579.08

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Solution

The fourth proportional to 1,067.24, 1,599.34 and 579.08 is: 867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.24 : 1,599.34 = 579.08 : x
  2. Step 2: Convert to fraction form
    1,067.24/1,599.34 = 579.08/x
  3. Step 3: Cross multiply
    1,067.24x = 1,599.34 × 579.08
  4. Step 4: Simplify right side
    1,067.24x = 926,145.81
  5. Step 5: Solve for x
    x = 926,145.81/1,067.24
  6. Step 6: Final answer
    x = 867.80

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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.