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Finding the Fourth Proportional to 1,644.59, 2,467.31 and 474.69

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Solution

The fourth proportional to 1,644.59, 2,467.31 and 474.69 is: 712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.59 : 2,467.31 = 474.69 : x
  2. Step 2: Convert to fraction form
    1,644.59/2,467.31 = 474.69/x
  3. Step 3: Cross multiply
    1,644.59x = 2,467.31 × 474.69
  4. Step 4: Simplify right side
    1,644.59x = 1,171,197.62
  5. Step 5: Solve for x
    x = 1,171,197.62/1,644.59
  6. Step 6: Final answer
    x = 712.15

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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.