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Finding the Fourth Proportional to 1,644.85, 2,467.62 and 474.85

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Solution

The fourth proportional to 1,644.85, 2,467.62 and 474.85 is: 712.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.85 : 2,467.62 = 474.85 : x
  2. Step 2: Convert to fraction form
    1,644.85/2,467.62 = 474.85/x
  3. Step 3: Cross multiply
    1,644.85x = 2,467.62 × 474.85
  4. Step 4: Simplify right side
    1,644.85x = 1,171,749.36
  5. Step 5: Solve for x
    x = 1,171,749.36/1,644.85
  6. Step 6: Final answer
    x = 712.37

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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.