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Finding the Fourth Proportional to 1,099.40, 1,647.79 and 405.61

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Solution

The fourth proportional to 1,099.40, 1,647.79 and 405.61 is: 607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.40 : 1,647.79 = 405.61 : x
  2. Step 2: Convert to fraction form
    1,099.40/1,647.79 = 405.61/x
  3. Step 3: Cross multiply
    1,099.40x = 1,647.79 × 405.61
  4. Step 4: Simplify right side
    1,099.40x = 668,357.25
  5. Step 5: Solve for x
    x = 668,357.25/1,099.40
  6. Step 6: Final answer
    x = 607.93

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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.