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Finding the Fourth Proportional to 777.07, 1,165.24 and 229.15

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Solution

The fourth proportional to 777.07, 1,165.24 and 229.15 is: 343.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.07 : 1,165.24 = 229.15 : x
  2. Step 2: Convert to fraction form
    777.07/1,165.24 = 229.15/x
  3. Step 3: Cross multiply
    777.07x = 1,165.24 × 229.15
  4. Step 4: Simplify right side
    777.07x = 267,007.77
  5. Step 5: Solve for x
    x = 267,007.77/777.07
  6. Step 6: Final answer
    x = 343.61

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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.