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Finding the Fourth Proportional to 1,191.30, 1,786.97 and 369.57

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Solution

The fourth proportional to 1,191.30, 1,786.97 and 369.57 is: 554.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.30 : 1,786.97 = 369.57 : x
  2. Step 2: Convert to fraction form
    1,191.30/1,786.97 = 369.57/x
  3. Step 3: Cross multiply
    1,191.30x = 1,786.97 × 369.57
  4. Step 4: Simplify right side
    1,191.30x = 660,410.50
  5. Step 5: Solve for x
    x = 660,410.50/1,191.30
  6. Step 6: Final answer
    x = 554.36

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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.