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Finding the Fourth Proportional to 773.06, 1,067.16 and 537.80

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Solution

The fourth proportional to 773.06, 1,067.16 and 537.80 is: 742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.06 : 1,067.16 = 537.80 : x
  2. Step 2: Convert to fraction form
    773.06/1,067.16 = 537.80/x
  3. Step 3: Cross multiply
    773.06x = 1,067.16 × 537.80
  4. Step 4: Simplify right side
    773.06x = 573,913.31
  5. Step 5: Solve for x
    x = 573,913.31/773.06
  6. Step 6: Final answer
    x = 742.40

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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.