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Finding the Fourth Proportional to 1,192.85, 1,789.56 and 371.24

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Solution

The fourth proportional to 1,192.85, 1,789.56 and 371.24 is: 556.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.85 : 1,789.56 = 371.24 : x
  2. Step 2: Convert to fraction form
    1,192.85/1,789.56 = 371.24/x
  3. Step 3: Cross multiply
    1,192.85x = 1,789.56 × 371.24
  4. Step 4: Simplify right side
    1,192.85x = 664,347.31
  5. Step 5: Solve for x
    x = 664,347.31/1,192.85
  6. Step 6: Final answer
    x = 556.94

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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.