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Finding the Fourth Proportional to 774.24, 1,161.06 and 311.77

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Solution

The fourth proportional to 774.24, 1,161.06 and 311.77 is: 467.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.24 : 1,161.06 = 311.77 : x
  2. Step 2: Convert to fraction form
    774.24/1,161.06 = 311.77/x
  3. Step 3: Cross multiply
    774.24x = 1,161.06 × 311.77
  4. Step 4: Simplify right side
    774.24x = 361,983.68
  5. Step 5: Solve for x
    x = 361,983.68/774.24
  6. Step 6: Final answer
    x = 467.53

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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.