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Finding the Fourth Proportional to 1,662.70, 2,494.11 and 567.17

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Solution

The fourth proportional to 1,662.70, 2,494.11 and 567.17 is: 850.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.70 : 2,494.11 = 567.17 : x
  2. Step 2: Convert to fraction form
    1,662.70/2,494.11 = 567.17/x
  3. Step 3: Cross multiply
    1,662.70x = 2,494.11 × 567.17
  4. Step 4: Simplify right side
    1,662.70x = 1,414,584.37
  5. Step 5: Solve for x
    x = 1,414,584.37/1,662.70
  6. Step 6: Final answer
    x = 850.78

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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.