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Finding the Fourth Proportional to 1,198.74, 1,797.84 and 377.00

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Solution

The fourth proportional to 1,198.74, 1,797.84 and 377.00 is: 565.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.74 : 1,797.84 = 377.00 : x
  2. Step 2: Convert to fraction form
    1,198.74/1,797.84 = 377.00/x
  3. Step 3: Cross multiply
    1,198.74x = 1,797.84 × 377.00
  4. Step 4: Simplify right side
    1,198.74x = 677,776.69
  5. Step 5: Solve for x
    x = 677,776.69/1,198.74
  6. Step 6: Final answer
    x = 565.41

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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.