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Finding the Fourth Proportional to 1,234.68, 1,850.44 and 617.44

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Solution

The fourth proportional to 1,234.68, 1,850.44 and 617.44 is: 925.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.68 : 1,850.44 = 617.44 : x
  2. Step 2: Convert to fraction form
    1,234.68/1,850.44 = 617.44/x
  3. Step 3: Cross multiply
    1,234.68x = 1,850.44 × 617.44
  4. Step 4: Simplify right side
    1,234.68x = 1,142,535.67
  5. Step 5: Solve for x
    x = 1,142,535.67/1,234.68
  6. Step 6: Final answer
    x = 925.37

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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.