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Finding the Fourth Proportional to 1,443.24, 1,991.61 and 845.78

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Solution

The fourth proportional to 1,443.24, 1,991.61 and 845.78 is: 1,167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.24 : 1,991.61 = 845.78 : x
  2. Step 2: Convert to fraction form
    1,443.24/1,991.61 = 845.78/x
  3. Step 3: Cross multiply
    1,443.24x = 1,991.61 × 845.78
  4. Step 4: Simplify right side
    1,443.24x = 1,684,453.95
  5. Step 5: Solve for x
    x = 1,684,453.95/1,443.24
  6. Step 6: Final answer
    x = 1,167.13

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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.