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Finding the Fourth Proportional to 1,190.98, 1,786.55 and 369.27

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Solution

The fourth proportional to 1,190.98, 1,786.55 and 369.27 is: 553.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.98 : 1,786.55 = 369.27 : x
  2. Step 2: Convert to fraction form
    1,190.98/1,786.55 = 369.27/x
  3. Step 3: Cross multiply
    1,190.98x = 1,786.55 × 369.27
  4. Step 4: Simplify right side
    1,190.98x = 659,719.32
  5. Step 5: Solve for x
    x = 659,719.32/1,190.98
  6. Step 6: Final answer
    x = 553.93

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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.