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Finding the Fourth Proportional to 781.06, 1,168.14 and 694.96

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Solution

The fourth proportional to 781.06, 1,168.14 and 694.96 is: 1,039.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.06 : 1,168.14 = 694.96 : x
  2. Step 2: Convert to fraction form
    781.06/1,168.14 = 694.96/x
  3. Step 3: Cross multiply
    781.06x = 1,168.14 × 694.96
  4. Step 4: Simplify right side
    781.06x = 811,810.57
  5. Step 5: Solve for x
    x = 811,810.57/781.06
  6. Step 6: Final answer
    x = 1,039.37

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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.