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Finding the Fourth Proportional to 1,231.89, 1,845.79 and 866.03

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Solution

The fourth proportional to 1,231.89, 1,845.79 and 866.03 is: 1,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.89 : 1,845.79 = 866.03 : x
  2. Step 2: Convert to fraction form
    1,231.89/1,845.79 = 866.03/x
  3. Step 3: Cross multiply
    1,231.89x = 1,845.79 × 866.03
  4. Step 4: Simplify right side
    1,231.89x = 1,598,498.12
  5. Step 5: Solve for x
    x = 1,598,498.12/1,231.89
  6. Step 6: Final answer
    x = 1,297.60

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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.