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Finding the Fourth Proportional to 1,443.89, 1,992.49 and 846.43

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Solution

The fourth proportional to 1,443.89, 1,992.49 and 846.43 is: 1,168.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.89 : 1,992.49 = 846.43 : x
  2. Step 2: Convert to fraction form
    1,443.89/1,992.49 = 846.43/x
  3. Step 3: Cross multiply
    1,443.89x = 1,992.49 × 846.43
  4. Step 4: Simplify right side
    1,443.89x = 1,686,496.21
  5. Step 5: Solve for x
    x = 1,686,496.21/1,443.89
  6. Step 6: Final answer
    x = 1,168.02

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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.