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Finding the Fourth Proportional to 1,183.77, 1,633.01 and 791.37

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Solution

The fourth proportional to 1,183.77, 1,633.01 and 791.37 is: 1,091.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.77 : 1,633.01 = 791.37 : x
  2. Step 2: Convert to fraction form
    1,183.77/1,633.01 = 791.37/x
  3. Step 3: Cross multiply
    1,183.77x = 1,633.01 × 791.37
  4. Step 4: Simplify right side
    1,183.77x = 1,292,311.17
  5. Step 5: Solve for x
    x = 1,292,311.17/1,183.77
  6. Step 6: Final answer
    x = 1,091.69

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Half scale
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Double scale
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1.5x scale

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.