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Finding the Fourth Proportional to 1,193.04, 1,789.41 and 371.31

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Solution

The fourth proportional to 1,193.04, 1,789.41 and 371.31 is: 556.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.04 : 1,789.41 = 371.31 : x
  2. Step 2: Convert to fraction form
    1,193.04/1,789.41 = 371.31/x
  3. Step 3: Cross multiply
    1,193.04x = 1,789.41 × 371.31
  4. Step 4: Simplify right side
    1,193.04x = 664,425.83
  5. Step 5: Solve for x
    x = 664,425.83/1,193.04
  6. Step 6: Final answer
    x = 556.92

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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.