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Finding the Fourth Proportional to 1,644.77, 2,467.76 and 605.45

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Solution

The fourth proportional to 1,644.77, 2,467.76 and 605.45 is: 908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.77 : 2,467.76 = 605.45 : x
  2. Step 2: Convert to fraction form
    1,644.77/2,467.76 = 605.45/x
  3. Step 3: Cross multiply
    1,644.77x = 2,467.76 × 605.45
  4. Step 4: Simplify right side
    1,644.77x = 1,494,105.29
  5. Step 5: Solve for x
    x = 1,494,105.29/1,644.77
  6. Step 6: Final answer
    x = 908.40

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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.