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Finding the Fourth Proportional to 1,224.82, 1,837.62 and 403.69

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Solution

The fourth proportional to 1,224.82, 1,837.62 and 403.69 is: 605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.82 : 1,837.62 = 403.69 : x
  2. Step 2: Convert to fraction form
    1,224.82/1,837.62 = 403.69/x
  3. Step 3: Cross multiply
    1,224.82x = 1,837.62 × 403.69
  4. Step 4: Simplify right side
    1,224.82x = 741,828.82
  5. Step 5: Solve for x
    x = 741,828.82/1,224.82
  6. Step 6: Final answer
    x = 605.66

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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.