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Finding the Fourth Proportional to 764.80, 1,147.37 and 277.84

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Solution

The fourth proportional to 764.80, 1,147.37 and 277.84 is: 416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.80 : 1,147.37 = 277.84 : x
  2. Step 2: Convert to fraction form
    764.80/1,147.37 = 277.84/x
  3. Step 3: Cross multiply
    764.80x = 1,147.37 × 277.84
  4. Step 4: Simplify right side
    764.80x = 318,778.15
  5. Step 5: Solve for x
    x = 318,778.15/764.80
  6. Step 6: Final answer
    x = 416.81

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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.