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Finding the Fourth Proportional to 773.57, 1,160.56 and 311.37

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Solution

The fourth proportional to 773.57, 1,160.56 and 311.37 is: 467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.57 : 1,160.56 = 311.37 : x
  2. Step 2: Convert to fraction form
    773.57/1,160.56 = 311.37/x
  3. Step 3: Cross multiply
    773.57x = 1,160.56 × 311.37
  4. Step 4: Simplify right side
    773.57x = 361,363.57
  5. Step 5: Solve for x
    x = 361,363.57/773.57
  6. Step 6: Final answer
    x = 467.14

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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.