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Finding the Fourth Proportional to 1,183.80, 1,633.88 and 712.08

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Solution

The fourth proportional to 1,183.80, 1,633.88 and 712.08 is: 982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.80 : 1,633.88 = 712.08 : x
  2. Step 2: Convert to fraction form
    1,183.80/1,633.88 = 712.08/x
  3. Step 3: Cross multiply
    1,183.80x = 1,633.88 × 712.08
  4. Step 4: Simplify right side
    1,183.80x = 1,163,453.27
  5. Step 5: Solve for x
    x = 1,163,453.27/1,183.80
  6. Step 6: Final answer
    x = 982.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.