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Finding the Fourth Proportional to 773.55, 1,067.01 and 493.70

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Solution

The fourth proportional to 773.55, 1,067.01 and 493.70 is: 680.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.55 : 1,067.01 = 493.70 : x
  2. Step 2: Convert to fraction form
    773.55/1,067.01 = 493.70/x
  3. Step 3: Cross multiply
    773.55x = 1,067.01 × 493.70
  4. Step 4: Simplify right side
    773.55x = 526,777.50
  5. Step 5: Solve for x
    x = 526,777.50/773.55
  6. Step 6: Final answer
    x = 680.99

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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.