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Finding the Fourth Proportional to 777.44, 1,165.92 and 229.77

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Solution

The fourth proportional to 777.44, 1,165.92 and 229.77 is: 344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.44 : 1,165.92 = 229.77 : x
  2. Step 2: Convert to fraction form
    777.44/1,165.92 = 229.77/x
  3. Step 3: Cross multiply
    777.44x = 1,165.92 × 229.77
  4. Step 4: Simplify right side
    777.44x = 267,893.44
  5. Step 5: Solve for x
    x = 267,893.44/777.44
  6. Step 6: Final answer
    x = 344.59

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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.