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Finding the Fourth Proportional to 1,099.26, 1,647.41 and 405.27

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Solution

The fourth proportional to 1,099.26, 1,647.41 and 405.27 is: 607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.26 : 1,647.41 = 405.27 : x
  2. Step 2: Convert to fraction form
    1,099.26/1,647.41 = 405.27/x
  3. Step 3: Cross multiply
    1,099.26x = 1,647.41 × 405.27
  4. Step 4: Simplify right side
    1,099.26x = 667,643.82
  5. Step 5: Solve for x
    x = 667,643.82/1,099.26
  6. Step 6: Final answer
    x = 607.36

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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.