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Finding the Fourth Proportional to 1,234.36, 1,850.67 and 617.62

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Solution

The fourth proportional to 1,234.36, 1,850.67 and 617.62 is: 925.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.36 : 1,850.67 = 617.62 : x
  2. Step 2: Convert to fraction form
    1,234.36/1,850.67 = 617.62/x
  3. Step 3: Cross multiply
    1,234.36x = 1,850.67 × 617.62
  4. Step 4: Simplify right side
    1,234.36x = 1,143,007.72
  5. Step 5: Solve for x
    x = 1,143,007.72/1,234.36
  6. Step 6: Final answer
    x = 925.99

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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.