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Finding the Fourth Proportional to 799.42, 1,103.22 and 467.98

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Solution

The fourth proportional to 799.42, 1,103.22 and 467.98 is: 645.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.42 : 1,103.22 = 467.98 : x
  2. Step 2: Convert to fraction form
    799.42/1,103.22 = 467.98/x
  3. Step 3: Cross multiply
    799.42x = 1,103.22 × 467.98
  4. Step 4: Simplify right side
    799.42x = 516,284.90
  5. Step 5: Solve for x
    x = 516,284.90/799.42
  6. Step 6: Final answer
    x = 645.82

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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.