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Finding the Fourth Proportional to 1,441.21, 1,989.27 and 852.07

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Solution

The fourth proportional to 1,441.21, 1,989.27 and 852.07 is: 1,176.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.21 : 1,989.27 = 852.07 : x
  2. Step 2: Convert to fraction form
    1,441.21/1,989.27 = 852.07/x
  3. Step 3: Cross multiply
    1,441.21x = 1,989.27 × 852.07
  4. Step 4: Simplify right side
    1,441.21x = 1,694,997.29
  5. Step 5: Solve for x
    x = 1,694,997.29/1,441.21
  6. Step 6: Final answer
    x = 1,176.09

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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.