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Finding the Fourth Proportional to 1,299.36, 1,794.96 and 1,182.72

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Solution

The fourth proportional to 1,299.36, 1,794.96 and 1,182.72 is: 1,633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.36 : 1,794.96 = 1,182.72 : x
  2. Step 2: Convert to fraction form
    1,299.36/1,794.96 = 1,182.72/x
  3. Step 3: Cross multiply
    1,299.36x = 1,794.96 × 1,182.72
  4. Step 4: Simplify right side
    1,299.36x = 2,122,935.09
  5. Step 5: Solve for x
    x = 2,122,935.09/1,299.36
  6. Step 6: Final answer
    x = 1,633.83

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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.