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Finding the Fourth Proportional to 1,198.87, 1,798.84 and 613.51

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Solution

The fourth proportional to 1,198.87, 1,798.84 and 613.51 is: 920.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.87 : 1,798.84 = 613.51 : x
  2. Step 2: Convert to fraction form
    1,198.87/1,798.84 = 613.51/x
  3. Step 3: Cross multiply
    1,198.87x = 1,798.84 × 613.51
  4. Step 4: Simplify right side
    1,198.87x = 1,103,606.33
  5. Step 5: Solve for x
    x = 1,103,606.33/1,198.87
  6. Step 6: Final answer
    x = 920.54

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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.