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Finding the Fourth Proportional to 1,226.09, 1,838.67 and 403.91

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Solution

The fourth proportional to 1,226.09, 1,838.67 and 403.91 is: 605.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.09 : 1,838.67 = 403.91 : x
  2. Step 2: Convert to fraction form
    1,226.09/1,838.67 = 403.91/x
  3. Step 3: Cross multiply
    1,226.09x = 1,838.67 × 403.91
  4. Step 4: Simplify right side
    1,226.09x = 742,661.97
  5. Step 5: Solve for x
    x = 742,661.97/1,226.09
  6. Step 6: Final answer
    x = 605.72

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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.