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Finding the Fourth Proportional to 777.23, 1,165.86 and 229.43

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Solution

The fourth proportional to 777.23, 1,165.86 and 229.43 is: 344.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.23 : 1,165.86 = 229.43 : x
  2. Step 2: Convert to fraction form
    777.23/1,165.86 = 229.43/x
  3. Step 3: Cross multiply
    777.23x = 1,165.86 × 229.43
  4. Step 4: Simplify right side
    777.23x = 267,477.43
  5. Step 5: Solve for x
    x = 267,477.43/777.23
  6. Step 6: Final answer
    x = 344.14

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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.