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Finding the Fourth Proportional to 777.14, 1,165.71 and 229.48

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Solution

The fourth proportional to 777.14, 1,165.71 and 229.48 is: 344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.14 : 1,165.71 = 229.48 : x
  2. Step 2: Convert to fraction form
    777.14/1,165.71 = 229.48/x
  3. Step 3: Cross multiply
    777.14x = 1,165.71 × 229.48
  4. Step 4: Simplify right side
    777.14x = 267,507.13
  5. Step 5: Solve for x
    x = 267,507.13/777.14
  6. Step 6: Final answer
    x = 344.22

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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.