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Finding the Fourth Proportional to 1,183.24, 1,783.87 and 1,099.72

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Solution

The fourth proportional to 1,183.24, 1,783.87 and 1,099.72 is: 1,657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.24 : 1,783.87 = 1,099.72 : x
  2. Step 2: Convert to fraction form
    1,183.24/1,783.87 = 1,099.72/x
  3. Step 3: Cross multiply
    1,183.24x = 1,783.87 × 1,099.72
  4. Step 4: Simplify right side
    1,183.24x = 1,961,757.52
  5. Step 5: Solve for x
    x = 1,961,757.52/1,183.24
  6. Step 6: Final answer
    x = 1,657.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.