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Finding the Fourth Proportional to 799.22, 1,102.92 and 467.84

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Solution

The fourth proportional to 799.22, 1,102.92 and 467.84 is: 645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.22 : 1,102.92 = 467.84 : x
  2. Step 2: Convert to fraction form
    799.22/1,102.92 = 467.84/x
  3. Step 3: Cross multiply
    799.22x = 1,102.92 × 467.84
  4. Step 4: Simplify right side
    799.22x = 515,984.58
  5. Step 5: Solve for x
    x = 515,984.58/799.22
  6. Step 6: Final answer
    x = 645.61

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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.