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Finding the Fourth Proportional to 796.35, 1,099.22 and 464.91

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Solution

The fourth proportional to 796.35, 1,099.22 and 464.91 is: 641.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.35 : 1,099.22 = 464.91 : x
  2. Step 2: Convert to fraction form
    796.35/1,099.22 = 464.91/x
  3. Step 3: Cross multiply
    796.35x = 1,099.22 × 464.91
  4. Step 4: Simplify right side
    796.35x = 511,036.05
  5. Step 5: Solve for x
    x = 511,036.05/796.35
  6. Step 6: Final answer
    x = 641.72

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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.