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Finding the Fourth Proportional to 1,174.65, 1,631.90 and 1,163.95

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Solution

The fourth proportional to 1,174.65, 1,631.90 and 1,163.95 is: 1,617.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.65 : 1,631.90 = 1,163.95 : x
  2. Step 2: Convert to fraction form
    1,174.65/1,631.90 = 1,163.95/x
  3. Step 3: Cross multiply
    1,174.65x = 1,631.90 × 1,163.95
  4. Step 4: Simplify right side
    1,174.65x = 1,899,451.47
  5. Step 5: Solve for x
    x = 1,899,451.47/1,174.65
  6. Step 6: Final answer
    x = 1,617.03

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.