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Finding the Fourth Proportional to 773.74, 1,067.34 and 598.78

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Solution

The fourth proportional to 773.74, 1,067.34 and 598.78 is: 825.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.74 : 1,067.34 = 598.78 : x
  2. Step 2: Convert to fraction form
    773.74/1,067.34 = 598.78/x
  3. Step 3: Cross multiply
    773.74x = 1,067.34 × 598.78
  4. Step 4: Simplify right side
    773.74x = 639,101.85
  5. Step 5: Solve for x
    x = 639,101.85/773.74
  6. Step 6: Final answer
    x = 825.99

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