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Finding the Fourth Proportional to 1,233.83, 1,850.76 and 617.39

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Solution

The fourth proportional to 1,233.83, 1,850.76 and 617.39 is: 926.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.83 : 1,850.76 = 617.39 : x
  2. Step 2: Convert to fraction form
    1,233.83/1,850.76 = 617.39/x
  3. Step 3: Cross multiply
    1,233.83x = 1,850.76 × 617.39
  4. Step 4: Simplify right side
    1,233.83x = 1,142,640.72
  5. Step 5: Solve for x
    x = 1,142,640.72/1,233.83
  6. Step 6: Final answer
    x = 926.09

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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.