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Finding the Fourth Proportional to 1,197.87, 1,643.13 and 1,187.48

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Solution

The fourth proportional to 1,197.87, 1,643.13 and 1,187.48 is: 1,628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.87 : 1,643.13 = 1,187.48 : x
  2. Step 2: Convert to fraction form
    1,197.87/1,643.13 = 1,187.48/x
  3. Step 3: Cross multiply
    1,197.87x = 1,643.13 × 1,187.48
  4. Step 4: Simplify right side
    1,197.87x = 1,951,175.80
  5. Step 5: Solve for x
    x = 1,951,175.80/1,197.87
  6. Step 6: Final answer
    x = 1,628.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.