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Finding the Fourth Proportional to 781.83, 1,071.83 and 768.02

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Solution

The fourth proportional to 781.83, 1,071.83 and 768.02 is: 1,052.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.83 : 1,071.83 = 768.02 : x
  2. Step 2: Convert to fraction form
    781.83/1,071.83 = 768.02/x
  3. Step 3: Cross multiply
    781.83x = 1,071.83 × 768.02
  4. Step 4: Simplify right side
    781.83x = 823,183.44
  5. Step 5: Solve for x
    x = 823,183.44/781.83
  6. Step 6: Final answer
    x = 1,052.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.