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Finding the Fourth Proportional to 1,193.24, 1,790.12 and 371.42

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Solution

The fourth proportional to 1,193.24, 1,790.12 and 371.42 is: 557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.24 : 1,790.12 = 371.42 : x
  2. Step 2: Convert to fraction form
    1,193.24/1,790.12 = 371.42/x
  3. Step 3: Cross multiply
    1,193.24x = 1,790.12 × 371.42
  4. Step 4: Simplify right side
    1,193.24x = 664,891.77
  5. Step 5: Solve for x
    x = 664,891.77/1,193.24
  6. Step 6: Final answer
    x = 557.22

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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.