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Finding the Fourth Proportional to 1,644.90, 2,466.56 and 604.62

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Solution

The fourth proportional to 1,644.90, 2,466.56 and 604.62 is: 906.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.90 : 2,466.56 = 604.62 : x
  2. Step 2: Convert to fraction form
    1,644.90/2,466.56 = 604.62/x
  3. Step 3: Cross multiply
    1,644.90x = 2,466.56 × 604.62
  4. Step 4: Simplify right side
    1,644.90x = 1,491,331.51
  5. Step 5: Solve for x
    x = 1,491,331.51/1,644.90
  6. Step 6: Final answer
    x = 906.64

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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.