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Finding the Fourth Proportional to 774.64, 1,067.68 and 564.80

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Solution

The fourth proportional to 774.64, 1,067.68 and 564.80 is: 778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.64 : 1,067.68 = 564.80 : x
  2. Step 2: Convert to fraction form
    774.64/1,067.68 = 564.80/x
  3. Step 3: Cross multiply
    774.64x = 1,067.68 × 564.80
  4. Step 4: Simplify right side
    774.64x = 603,025.66
  5. Step 5: Solve for x
    x = 603,025.66/774.64
  6. Step 6: Final answer
    x = 778.46

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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.