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Finding the Fourth Proportional to 781.64, 1,071.66 and 767.87

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Solution

The fourth proportional to 781.64, 1,071.66 and 767.87 is: 1,052.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.64 : 1,071.66 = 767.87 : x
  2. Step 2: Convert to fraction form
    781.64/1,071.66 = 767.87/x
  3. Step 3: Cross multiply
    781.64x = 1,071.66 × 767.87
  4. Step 4: Simplify right side
    781.64x = 822,890.21
  5. Step 5: Solve for x
    x = 822,890.21/781.64
  6. Step 6: Final answer
    x = 1,052.78

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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.