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Finding the Fourth Proportional to 1,441.42, 1,989.35 and 844.09

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Solution

The fourth proportional to 1,441.42, 1,989.35 and 844.09 is: 1,164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.42 : 1,989.35 = 844.09 : x
  2. Step 2: Convert to fraction form
    1,441.42/1,989.35 = 844.09/x
  3. Step 3: Cross multiply
    1,441.42x = 1,989.35 × 844.09
  4. Step 4: Simplify right side
    1,441.42x = 1,679,190.44
  5. Step 5: Solve for x
    x = 1,679,190.44/1,441.42
  6. Step 6: Final answer
    x = 1,164.96

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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.