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Finding the Fourth Proportional to 792.52, 1,096.02 and 694.12

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Solution

The fourth proportional to 792.52, 1,096.02 and 694.12 is: 959.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.52 : 1,096.02 = 694.12 : x
  2. Step 2: Convert to fraction form
    792.52/1,096.02 = 694.12/x
  3. Step 3: Cross multiply
    792.52x = 1,096.02 × 694.12
  4. Step 4: Simplify right side
    792.52x = 760,769.40
  5. Step 5: Solve for x
    x = 760,769.40/792.52
  6. Step 6: Final answer
    x = 959.94

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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.