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Finding the Fourth Proportional to 1,163.78, 1,744.24 and 615.60

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Solution

The fourth proportional to 1,163.78, 1,744.24 and 615.60 is: 922.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.78 : 1,744.24 = 615.60 : x
  2. Step 2: Convert to fraction form
    1,163.78/1,744.24 = 615.60/x
  3. Step 3: Cross multiply
    1,163.78x = 1,744.24 × 615.60
  4. Step 4: Simplify right side
    1,163.78x = 1,073,754.14
  5. Step 5: Solve for x
    x = 1,073,754.14/1,163.78
  6. Step 6: Final answer
    x = 922.64

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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.