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Finding the Fourth Proportional to 1,474.80, 2,212 and 550.24

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Solution

The fourth proportional to 1,474.80, 2,212 and 550.24 is: 825.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.80 : 2,212 = 550.24 : x
  2. Step 2: Convert to fraction form
    1,474.80/2,212 = 550.24/x
  3. Step 3: Cross multiply
    1,474.80x = 2,212 × 550.24
  4. Step 4: Simplify right side
    1,474.80x = 1,217,130.88
  5. Step 5: Solve for x
    x = 1,217,130.88/1,474.80
  6. Step 6: Final answer
    x = 825.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.