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Finding the Fourth Proportional to 1,665.29, 2,497.69 and 664.63

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Solution

The fourth proportional to 1,665.29, 2,497.69 and 664.63 is: 996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.29 : 2,497.69 = 664.63 : x
  2. Step 2: Convert to fraction form
    1,665.29/2,497.69 = 664.63/x
  3. Step 3: Cross multiply
    1,665.29x = 2,497.69 × 664.63
  4. Step 4: Simplify right side
    1,665.29x = 1,660,039.70
  5. Step 5: Solve for x
    x = 1,660,039.70/1,665.29
  6. Step 6: Final answer
    x = 996.85

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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.