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Finding the Fourth Proportional to 1,189.13, 1,647.99 and 1,170.90

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Solution

The fourth proportional to 1,189.13, 1,647.99 and 1,170.90 is: 1,622.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.13 : 1,647.99 = 1,170.90 : x
  2. Step 2: Convert to fraction form
    1,189.13/1,647.99 = 1,170.90/x
  3. Step 3: Cross multiply
    1,189.13x = 1,647.99 × 1,170.90
  4. Step 4: Simplify right side
    1,189.13x = 1,929,631.49
  5. Step 5: Solve for x
    x = 1,929,631.49/1,189.13
  6. Step 6: Final answer
    x = 1,622.73

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.