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Finding the Fourth Proportional to 1,644.51, 2,466.09 and 604.29

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Solution

The fourth proportional to 1,644.51, 2,466.09 and 604.29 is: 906.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.51 : 2,466.09 = 604.29 : x
  2. Step 2: Convert to fraction form
    1,644.51/2,466.09 = 604.29/x
  3. Step 3: Cross multiply
    1,644.51x = 2,466.09 × 604.29
  4. Step 4: Simplify right side
    1,644.51x = 1,490,233.53
  5. Step 5: Solve for x
    x = 1,490,233.53/1,644.51
  6. Step 6: Final answer
    x = 906.19

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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.