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Finding the Fourth Proportional to 774.64, 1,161.96 and 261.64

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Solution

The fourth proportional to 774.64, 1,161.96 and 261.64 is: 392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.64 : 1,161.96 = 261.64 : x
  2. Step 2: Convert to fraction form
    774.64/1,161.96 = 261.64/x
  3. Step 3: Cross multiply
    774.64x = 1,161.96 × 261.64
  4. Step 4: Simplify right side
    774.64x = 304,015.21
  5. Step 5: Solve for x
    x = 304,015.21/774.64
  6. Step 6: Final answer
    x = 392.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.