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Finding the Fourth Proportional to 1,445.97, 2,167.24 and 567.43

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Solution

The fourth proportional to 1,445.97, 2,167.24 and 567.43 is: 850.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.97 : 2,167.24 = 567.43 : x
  2. Step 2: Convert to fraction form
    1,445.97/2,167.24 = 567.43/x
  3. Step 3: Cross multiply
    1,445.97x = 2,167.24 × 567.43
  4. Step 4: Simplify right side
    1,445.97x = 1,229,756.99
  5. Step 5: Solve for x
    x = 1,229,756.99/1,445.97
  6. Step 6: Final answer
    x = 850.47

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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.