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Finding the Fourth Proportional to 1,338.67, 2,008.22 and 414.21

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Solution

The fourth proportional to 1,338.67, 2,008.22 and 414.21 is: 621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.67 : 2,008.22 = 414.21 : x
  2. Step 2: Convert to fraction form
    1,338.67/2,008.22 = 414.21/x
  3. Step 3: Cross multiply
    1,338.67x = 2,008.22 × 414.21
  4. Step 4: Simplify right side
    1,338.67x = 831,824.81
  5. Step 5: Solve for x
    x = 831,824.81/1,338.67
  6. Step 6: Final answer
    x = 621.38

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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.