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Finding the Fourth Proportional to 796.77, 1,099.31 and 465.21

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Solution

The fourth proportional to 796.77, 1,099.31 and 465.21 is: 641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.77 : 1,099.31 = 465.21 : x
  2. Step 2: Convert to fraction form
    796.77/1,099.31 = 465.21/x
  3. Step 3: Cross multiply
    796.77x = 1,099.31 × 465.21
  4. Step 4: Simplify right side
    796.77x = 511,407.68
  5. Step 5: Solve for x
    x = 511,407.68/796.77
  6. Step 6: Final answer
    x = 641.85

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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.