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Finding the Fourth Proportional to 777.28, 1,165.87 and 257.23

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Solution

The fourth proportional to 777.28, 1,165.87 and 257.23 is: 385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.28 : 1,165.87 = 257.23 : x
  2. Step 2: Convert to fraction form
    777.28/1,165.87 = 257.23/x
  3. Step 3: Cross multiply
    777.28x = 1,165.87 × 257.23
  4. Step 4: Simplify right side
    777.28x = 299,896.74
  5. Step 5: Solve for x
    x = 299,896.74/777.28
  6. Step 6: Final answer
    x = 385.83

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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.