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Finding the Fourth Proportional to 1,367.58, 2,052 and 674.22

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Solution

The fourth proportional to 1,367.58, 2,052 and 674.22 is: 1,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.58 : 2,052 = 674.22 : x
  2. Step 2: Convert to fraction form
    1,367.58/2,052 = 674.22/x
  3. Step 3: Cross multiply
    1,367.58x = 2,052 × 674.22
  4. Step 4: Simplify right side
    1,367.58x = 1,383,499.44
  5. Step 5: Solve for x
    x = 1,383,499.44/1,367.58
  6. Step 6: Final answer
    x = 1,011.64

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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.