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Finding the Fourth Proportional to 799.50, 1,103.13 and 467.94

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Solution

The fourth proportional to 799.50, 1,103.13 and 467.94 is: 645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.50 : 1,103.13 = 467.94 : x
  2. Step 2: Convert to fraction form
    799.50/1,103.13 = 467.94/x
  3. Step 3: Cross multiply
    799.50x = 1,103.13 × 467.94
  4. Step 4: Simplify right side
    799.50x = 516,198.65
  5. Step 5: Solve for x
    x = 516,198.65/799.50
  6. Step 6: Final answer
    x = 645.65

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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.