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Finding the Fourth Proportional to 1,217.69, 1,826.13 and 395.78

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Solution

The fourth proportional to 1,217.69, 1,826.13 and 395.78 is: 593.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.69 : 1,826.13 = 395.78 : x
  2. Step 2: Convert to fraction form
    1,217.69/1,826.13 = 395.78/x
  3. Step 3: Cross multiply
    1,217.69x = 1,826.13 × 395.78
  4. Step 4: Simplify right side
    1,217.69x = 722,745.73
  5. Step 5: Solve for x
    x = 722,745.73/1,217.69
  6. Step 6: Final answer
    x = 593.54

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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.