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Finding the Fourth Proportional to 796.23, 1,099.17 and 464.61

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Solution

The fourth proportional to 796.23, 1,099.17 and 464.61 is: 641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.23 : 1,099.17 = 464.61 : x
  2. Step 2: Convert to fraction form
    796.23/1,099.17 = 464.61/x
  3. Step 3: Cross multiply
    796.23x = 1,099.17 × 464.61
  4. Step 4: Simplify right side
    796.23x = 510,685.37
  5. Step 5: Solve for x
    x = 510,685.37/796.23
  6. Step 6: Final answer
    x = 641.38

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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.