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Finding the Fourth Proportional to 1,193.16, 1,789.74 and 371.46

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Solution

The fourth proportional to 1,193.16, 1,789.74 and 371.46 is: 557.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.16 : 1,789.74 = 371.46 : x
  2. Step 2: Convert to fraction form
    1,193.16/1,789.74 = 371.46/x
  3. Step 3: Cross multiply
    1,193.16x = 1,789.74 × 371.46
  4. Step 4: Simplify right side
    1,193.16x = 664,816.82
  5. Step 5: Solve for x
    x = 664,816.82/1,193.16
  6. Step 6: Final answer
    x = 557.19

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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.