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Finding the Fourth Proportional to 1,183.26, 1,630.68 and 851.11

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Solution

The fourth proportional to 1,183.26, 1,630.68 and 851.11 is: 1,172.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.26 : 1,630.68 = 851.11 : x
  2. Step 2: Convert to fraction form
    1,183.26/1,630.68 = 851.11/x
  3. Step 3: Cross multiply
    1,183.26x = 1,630.68 × 851.11
  4. Step 4: Simplify right side
    1,183.26x = 1,387,885.57
  5. Step 5: Solve for x
    x = 1,387,885.57/1,183.26
  6. Step 6: Final answer
    x = 1,172.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.