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Finding the Fourth Proportional to 1,147.97, 1,563.01 and 1,144.33

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Solution

The fourth proportional to 1,147.97, 1,563.01 and 1,144.33 is: 1,558.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.97 : 1,563.01 = 1,144.33 : x
  2. Step 2: Convert to fraction form
    1,147.97/1,563.01 = 1,144.33/x
  3. Step 3: Cross multiply
    1,147.97x = 1,563.01 × 1,144.33
  4. Step 4: Simplify right side
    1,147.97x = 1,788,585.70
  5. Step 5: Solve for x
    x = 1,788,585.70/1,147.97
  6. Step 6: Final answer
    x = 1,558.04

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.