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Finding the Fourth Proportional to 1,322.71, 1,982.66 and 629.03

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Solution

The fourth proportional to 1,322.71, 1,982.66 and 629.03 is: 942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.71 : 1,982.66 = 629.03 : x
  2. Step 2: Convert to fraction form
    1,322.71/1,982.66 = 629.03/x
  3. Step 3: Cross multiply
    1,322.71x = 1,982.66 × 629.03
  4. Step 4: Simplify right side
    1,322.71x = 1,247,154.43
  5. Step 5: Solve for x
    x = 1,247,154.43/1,322.71
  6. Step 6: Final answer
    x = 942.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.