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Finding the Fourth Proportional to 1,664.46, 2,495.07 and 799.38

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Solution

The fourth proportional to 1,664.46, 2,495.07 and 799.38 is: 1,198.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.46 : 2,495.07 = 799.38 : x
  2. Step 2: Convert to fraction form
    1,664.46/2,495.07 = 799.38/x
  3. Step 3: Cross multiply
    1,664.46x = 2,495.07 × 799.38
  4. Step 4: Simplify right side
    1,664.46x = 1,994,509.06
  5. Step 5: Solve for x
    x = 1,994,509.06/1,664.46
  6. Step 6: Final answer
    x = 1,198.29

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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.