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Finding the Fourth Proportional to 1,197.18, 1,796.31 and 735.21

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Solution

The fourth proportional to 1,197.18, 1,796.31 and 735.21 is: 1,103.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.18 : 1,796.31 = 735.21 : x
  2. Step 2: Convert to fraction form
    1,197.18/1,796.31 = 735.21/x
  3. Step 3: Cross multiply
    1,197.18x = 1,796.31 × 735.21
  4. Step 4: Simplify right side
    1,197.18x = 1,320,665.08
  5. Step 5: Solve for x
    x = 1,320,665.08/1,197.18
  6. Step 6: Final answer
    x = 1,103.15

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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.