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Finding the Fourth Proportional to 796.65, 1,196.46 and 474

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Solution

The fourth proportional to 796.65, 1,196.46 and 474 is: 711.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.65 : 1,196.46 = 474 : x
  2. Step 2: Convert to fraction form
    796.65/1,196.46 = 474/x
  3. Step 3: Cross multiply
    796.65x = 1,196.46 × 474
  4. Step 4: Simplify right side
    796.65x = 567,122.04
  5. Step 5: Solve for x
    x = 567,122.04/796.65
  6. Step 6: Final answer
    x = 711.88

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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.