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Finding the Fourth Proportional to 1,233.05, 1,849.14 and 411.12

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Solution

The fourth proportional to 1,233.05, 1,849.14 and 411.12 is: 616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.05 : 1,849.14 = 411.12 : x
  2. Step 2: Convert to fraction form
    1,233.05/1,849.14 = 411.12/x
  3. Step 3: Cross multiply
    1,233.05x = 1,849.14 × 411.12
  4. Step 4: Simplify right side
    1,233.05x = 760,218.44
  5. Step 5: Solve for x
    x = 760,218.44/1,233.05
  6. Step 6: Final answer
    x = 616.54

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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.