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Finding the Fourth Proportional to 1,199.00, 1,797.90 and 377.36

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Solution

The fourth proportional to 1,199.00, 1,797.90 and 377.36 is: 565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.00 : 1,797.90 = 377.36 : x
  2. Step 2: Convert to fraction form
    1,199.00/1,797.90 = 377.36/x
  3. Step 3: Cross multiply
    1,199.00x = 1,797.90 × 377.36
  4. Step 4: Simplify right side
    1,199.00x = 678,451.88
  5. Step 5: Solve for x
    x = 678,451.88/1,199.00
  6. Step 6: Final answer
    x = 565.85

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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.