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Finding the Fourth Proportional to 764.77, 1,147.20 and 331.96

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Solution

The fourth proportional to 764.77, 1,147.20 and 331.96 is: 497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.77 : 1,147.20 = 331.96 : x
  2. Step 2: Convert to fraction form
    764.77/1,147.20 = 331.96/x
  3. Step 3: Cross multiply
    764.77x = 1,147.20 × 331.96
  4. Step 4: Simplify right side
    764.77x = 380,824.51
  5. Step 5: Solve for x
    x = 380,824.51/764.77
  6. Step 6: Final answer
    x = 497.96

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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.