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Finding the Fourth Proportional to 1,183.29, 1,633.26 and 852.67

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Solution

The fourth proportional to 1,183.29, 1,633.26 and 852.67 is: 1,176.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.29 : 1,633.26 = 852.67 : x
  2. Step 2: Convert to fraction form
    1,183.29/1,633.26 = 852.67/x
  3. Step 3: Cross multiply
    1,183.29x = 1,633.26 × 852.67
  4. Step 4: Simplify right side
    1,183.29x = 1,392,631.80
  5. Step 5: Solve for x
    x = 1,392,631.80/1,183.29
  6. Step 6: Final answer
    x = 1,176.92

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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.