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Finding the Fourth Proportional to 1,183.64, 1,633.26 and 679.54

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Solution

The fourth proportional to 1,183.64, 1,633.26 and 679.54 is: 937.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.64 : 1,633.26 = 679.54 : x
  2. Step 2: Convert to fraction form
    1,183.64/1,633.26 = 679.54/x
  3. Step 3: Cross multiply
    1,183.64x = 1,633.26 × 679.54
  4. Step 4: Simplify right side
    1,183.64x = 1,109,865.50
  5. Step 5: Solve for x
    x = 1,109,865.50/1,183.64
  6. Step 6: Final answer
    x = 937.67

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