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Finding the Fourth Proportional to 777.09, 1,165.80 and 229.29

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Solution

The fourth proportional to 777.09, 1,165.80 and 229.29 is: 343.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.09 : 1,165.80 = 229.29 : x
  2. Step 2: Convert to fraction form
    777.09/1,165.80 = 229.29/x
  3. Step 3: Cross multiply
    777.09x = 1,165.80 × 229.29
  4. Step 4: Simplify right side
    777.09x = 267,306.28
  5. Step 5: Solve for x
    x = 267,306.28/777.09
  6. Step 6: Final answer
    x = 343.98

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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.