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Finding the Fourth Proportional to 773.14, 1,066.55 and 717.56

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Solution

The fourth proportional to 773.14, 1,066.55 and 717.56 is: 989.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.14 : 1,066.55 = 717.56 : x
  2. Step 2: Convert to fraction form
    773.14/1,066.55 = 717.56/x
  3. Step 3: Cross multiply
    773.14x = 1,066.55 × 717.56
  4. Step 4: Simplify right side
    773.14x = 765,308.29
  5. Step 5: Solve for x
    x = 765,308.29/773.14
  6. Step 6: Final answer
    x = 989.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.