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Finding the Fourth Proportional to 1,338.78, 2,008.36 and 414.42

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Solution

The fourth proportional to 1,338.78, 2,008.36 and 414.42 is: 621.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.78 : 2,008.36 = 414.42 : x
  2. Step 2: Convert to fraction form
    1,338.78/2,008.36 = 414.42/x
  3. Step 3: Cross multiply
    1,338.78x = 2,008.36 × 414.42
  4. Step 4: Simplify right side
    1,338.78x = 832,304.55
  5. Step 5: Solve for x
    x = 832,304.55/1,338.78
  6. Step 6: Final answer
    x = 621.69

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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.