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Finding the Fourth Proportional to 796.35, 1,099.22 and 464.79

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Solution

The fourth proportional to 796.35, 1,099.22 and 464.79 is: 641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.35 : 1,099.22 = 464.79 : x
  2. Step 2: Convert to fraction form
    796.35/1,099.22 = 464.79/x
  3. Step 3: Cross multiply
    796.35x = 1,099.22 × 464.79
  4. Step 4: Simplify right side
    796.35x = 510,904.14
  5. Step 5: Solve for x
    x = 510,904.14/796.35
  6. Step 6: Final answer
    x = 641.56

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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.