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Finding the Fourth Proportional to 1,442.67, 1,991.21 and 845.43

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Solution

The fourth proportional to 1,442.67, 1,991.21 and 845.43 is: 1,166.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.67 : 1,991.21 = 845.43 : x
  2. Step 2: Convert to fraction form
    1,442.67/1,991.21 = 845.43/x
  3. Step 3: Cross multiply
    1,442.67x = 1,991.21 × 845.43
  4. Step 4: Simplify right side
    1,442.67x = 1,683,424.44
  5. Step 5: Solve for x
    x = 1,683,424.44/1,442.67
  6. Step 6: Final answer
    x = 1,166.88

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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.