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Finding the Fourth Proportional to 1,163.66, 1,753.87 and 1,114.25

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Solution

The fourth proportional to 1,163.66, 1,753.87 and 1,114.25 is: 1,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.66 : 1,753.87 = 1,114.25 : x
  2. Step 2: Convert to fraction form
    1,163.66/1,753.87 = 1,114.25/x
  3. Step 3: Cross multiply
    1,163.66x = 1,753.87 × 1,114.25
  4. Step 4: Simplify right side
    1,163.66x = 1,954,244.08
  5. Step 5: Solve for x
    x = 1,954,244.08/1,163.66
  6. Step 6: Final answer
    x = 1,679.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.