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Finding the Fourth Proportional to 1,183.87, 1,766.81 and 1,136.19

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Solution

The fourth proportional to 1,183.87, 1,766.81 and 1,136.19 is: 1,695.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.87 : 1,766.81 = 1,136.19 : x
  2. Step 2: Convert to fraction form
    1,183.87/1,766.81 = 1,136.19/x
  3. Step 3: Cross multiply
    1,183.87x = 1,766.81 × 1,136.19
  4. Step 4: Simplify right side
    1,183.87x = 2,007,431.85
  5. Step 5: Solve for x
    x = 2,007,431.85/1,183.87
  6. Step 6: Final answer
    x = 1,695.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.