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Finding the Fourth Proportional to 777.56, 1,166.39 and 229.70

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Solution

The fourth proportional to 777.56, 1,166.39 and 229.70 is: 344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.56 : 1,166.39 = 229.70 : x
  2. Step 2: Convert to fraction form
    777.56/1,166.39 = 229.70/x
  3. Step 3: Cross multiply
    777.56x = 1,166.39 × 229.70
  4. Step 4: Simplify right side
    777.56x = 267,919.78
  5. Step 5: Solve for x
    x = 267,919.78/777.56
  6. Step 6: Final answer
    x = 344.56

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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.