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Finding the Fourth Proportional to 1,193.18, 1,789.83 and 371.57

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Solution

The fourth proportional to 1,193.18, 1,789.83 and 371.57 is: 557.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.18 : 1,789.83 = 371.57 : x
  2. Step 2: Convert to fraction form
    1,193.18/1,789.83 = 371.57/x
  3. Step 3: Cross multiply
    1,193.18x = 1,789.83 × 371.57
  4. Step 4: Simplify right side
    1,193.18x = 665,038.18
  5. Step 5: Solve for x
    x = 665,038.18/1,193.18
  6. Step 6: Final answer
    x = 557.37

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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.