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Finding the Fourth Proportional to 1,193.06, 1,789.74 and 371.21

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Solution

The fourth proportional to 1,193.06, 1,789.74 and 371.21 is: 556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.06 : 1,789.74 = 371.21 : x
  2. Step 2: Convert to fraction form
    1,193.06/1,789.74 = 371.21/x
  3. Step 3: Cross multiply
    1,193.06x = 1,789.74 × 371.21
  4. Step 4: Simplify right side
    1,193.06x = 664,360.44
  5. Step 5: Solve for x
    x = 664,360.44/1,193.06
  6. Step 6: Final answer
    x = 556.85

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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.