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Finding the Fourth Proportional to 777.38, 1,165.84 and 229.54

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Solution

The fourth proportional to 777.38, 1,165.84 and 229.54 is: 344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.38 : 1,165.84 = 229.54 : x
  2. Step 2: Convert to fraction form
    777.38/1,165.84 = 229.54/x
  3. Step 3: Cross multiply
    777.38x = 1,165.84 × 229.54
  4. Step 4: Simplify right side
    777.38x = 267,606.91
  5. Step 5: Solve for x
    x = 267,606.91/777.38
  6. Step 6: Final answer
    x = 344.24

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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.