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Finding the Fourth Proportional to 1,197.66, 1,796.46 and 1,170.30

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Solution

The fourth proportional to 1,197.66, 1,796.46 and 1,170.30 is: 1,755.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.66 : 1,796.46 = 1,170.30 : x
  2. Step 2: Convert to fraction form
    1,197.66/1,796.46 = 1,170.30/x
  3. Step 3: Cross multiply
    1,197.66x = 1,796.46 × 1,170.30
  4. Step 4: Simplify right side
    1,197.66x = 2,102,397.14
  5. Step 5: Solve for x
    x = 2,102,397.14/1,197.66
  6. Step 6: Final answer
    x = 1,755.42

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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.