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Finding the Fourth Proportional to 773.93, 1,067.64 and 564

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Solution

The fourth proportional to 773.93, 1,067.64 and 564 is: 778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.93 : 1,067.64 = 564 : x
  2. Step 2: Convert to fraction form
    773.93/1,067.64 = 564/x
  3. Step 3: Cross multiply
    773.93x = 1,067.64 × 564
  4. Step 4: Simplify right side
    773.93x = 602,148.96
  5. Step 5: Solve for x
    x = 602,148.96/773.93
  6. Step 6: Final answer
    x = 778.05

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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.