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Finding the Fourth Proportional to 1,367.88, 2,052.32 and 490.80

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Solution

The fourth proportional to 1,367.88, 2,052.32 and 490.80 is: 736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.88 : 2,052.32 = 490.80 : x
  2. Step 2: Convert to fraction form
    1,367.88/2,052.32 = 490.80/x
  3. Step 3: Cross multiply
    1,367.88x = 2,052.32 × 490.80
  4. Step 4: Simplify right side
    1,367.88x = 1,007,278.66
  5. Step 5: Solve for x
    x = 1,007,278.66/1,367.88
  6. Step 6: Final answer
    x = 736.38

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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.