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Finding the Fourth Proportional to 796.64, 1,099.32 and 465.09

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Solution

The fourth proportional to 796.64, 1,099.32 and 465.09 is: 641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.64 : 1,099.32 = 465.09 : x
  2. Step 2: Convert to fraction form
    796.64/1,099.32 = 465.09/x
  3. Step 3: Cross multiply
    796.64x = 1,099.32 × 465.09
  4. Step 4: Simplify right side
    796.64x = 511,285.67
  5. Step 5: Solve for x
    x = 511,285.67/796.64
  6. Step 6: Final answer
    x = 641.81

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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.