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Finding the Fourth Proportional to 1,190.79, 1,786.05 and 369.07

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Solution

The fourth proportional to 1,190.79, 1,786.05 and 369.07 is: 553.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.79 : 1,786.05 = 369.07 : x
  2. Step 2: Convert to fraction form
    1,190.79/1,786.05 = 369.07/x
  3. Step 3: Cross multiply
    1,190.79x = 1,786.05 × 369.07
  4. Step 4: Simplify right side
    1,190.79x = 659,173.01
  5. Step 5: Solve for x
    x = 659,173.01/1,190.79
  6. Step 6: Final answer
    x = 553.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.