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Finding the Fourth Proportional to 1,244.80, 1,867.47 and 667

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Solution

The fourth proportional to 1,244.80, 1,867.47 and 667 is: 1,000.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.80 : 1,867.47 = 667 : x
  2. Step 2: Convert to fraction form
    1,244.80/1,867.47 = 667/x
  3. Step 3: Cross multiply
    1,244.80x = 1,867.47 × 667
  4. Step 4: Simplify right side
    1,244.80x = 1,245,602.49
  5. Step 5: Solve for x
    x = 1,245,602.49/1,244.80
  6. Step 6: Final answer
    x = 1,000.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.