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Finding the Fourth Proportional to 1,644.46, 2,466.42 and 604.20

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Solution

The fourth proportional to 1,644.46, 2,466.42 and 604.20 is: 906.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.46 : 2,466.42 = 604.20 : x
  2. Step 2: Convert to fraction form
    1,644.46/2,466.42 = 604.20/x
  3. Step 3: Cross multiply
    1,644.46x = 2,466.42 × 604.20
  4. Step 4: Simplify right side
    1,644.46x = 1,490,221.35
  5. Step 5: Solve for x
    x = 1,490,221.35/1,644.46
  6. Step 6: Final answer
    x = 906.21

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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.