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Finding the Fourth Proportional to 777.29, 1,165.57 and 229.33

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Solution

The fourth proportional to 777.29, 1,165.57 and 229.33 is: 343.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.29 : 1,165.57 = 229.33 : x
  2. Step 2: Convert to fraction form
    777.29/1,165.57 = 229.33/x
  3. Step 3: Cross multiply
    777.29x = 1,165.57 × 229.33
  4. Step 4: Simplify right side
    777.29x = 267,300.17
  5. Step 5: Solve for x
    x = 267,300.17/777.29
  6. Step 6: Final answer
    x = 343.89

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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.