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Finding the Fourth Proportional to 1,190.57, 1,789.49 and 1,165.05

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Solution

The fourth proportional to 1,190.57, 1,789.49 and 1,165.05 is: 1,751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.57 : 1,789.49 = 1,165.05 : x
  2. Step 2: Convert to fraction form
    1,190.57/1,789.49 = 1,165.05/x
  3. Step 3: Cross multiply
    1,190.57x = 1,789.49 × 1,165.05
  4. Step 4: Simplify right side
    1,190.57x = 2,084,848.24
  5. Step 5: Solve for x
    x = 2,084,848.24/1,190.57
  6. Step 6: Final answer
    x = 1,751.14

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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.