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Finding the Fourth Proportional to 1,226.26, 1,839.64 and 405.11

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Solution

The fourth proportional to 1,226.26, 1,839.64 and 405.11 is: 607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.26 : 1,839.64 = 405.11 : x
  2. Step 2: Convert to fraction form
    1,226.26/1,839.64 = 405.11/x
  3. Step 3: Cross multiply
    1,226.26x = 1,839.64 × 405.11
  4. Step 4: Simplify right side
    1,226.26x = 745,253.28
  5. Step 5: Solve for x
    x = 745,253.28/1,226.26
  6. Step 6: Final answer
    x = 607.75

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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.