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Finding the Fourth Proportional to 799.24, 1,102.46 and 467.45

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Solution

The fourth proportional to 799.24, 1,102.46 and 467.45 is: 644.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.24 : 1,102.46 = 467.45 : x
  2. Step 2: Convert to fraction form
    799.24/1,102.46 = 467.45/x
  3. Step 3: Cross multiply
    799.24x = 1,102.46 × 467.45
  4. Step 4: Simplify right side
    799.24x = 515,340.74
  5. Step 5: Solve for x
    x = 515,340.74/799.24
  6. Step 6: Final answer
    x = 644.79

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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.