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Finding the Fourth Proportional to 1,168.29, 1,754.91 and 735.75

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Solution

The fourth proportional to 1,168.29, 1,754.91 and 735.75 is: 1,105.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.29 : 1,754.91 = 735.75 : x
  2. Step 2: Convert to fraction form
    1,168.29/1,754.91 = 735.75/x
  3. Step 3: Cross multiply
    1,168.29x = 1,754.91 × 735.75
  4. Step 4: Simplify right side
    1,168.29x = 1,291,175.03
  5. Step 5: Solve for x
    x = 1,291,175.03/1,168.29
  6. Step 6: Final answer
    x = 1,105.18

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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.