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Finding the Fourth Proportional to 794.94, 1,096.50 and 768.21

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Solution

The fourth proportional to 794.94, 1,096.50 and 768.21 is: 1,059.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.94 : 1,096.50 = 768.21 : x
  2. Step 2: Convert to fraction form
    794.94/1,096.50 = 768.21/x
  3. Step 3: Cross multiply
    794.94x = 1,096.50 × 768.21
  4. Step 4: Simplify right side
    794.94x = 842,342.27
  5. Step 5: Solve for x
    x = 842,342.27/794.94
  6. Step 6: Final answer
    x = 1,059.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.