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Finding the Fourth Proportional to 1,144.79, 1,719.92 and 734.73

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Solution

The fourth proportional to 1,144.79, 1,719.92 and 734.73 is: 1,103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.79 : 1,719.92 = 734.73 : x
  2. Step 2: Convert to fraction form
    1,144.79/1,719.92 = 734.73/x
  3. Step 3: Cross multiply
    1,144.79x = 1,719.92 × 734.73
  4. Step 4: Simplify right side
    1,144.79x = 1,263,664.55
  5. Step 5: Solve for x
    x = 1,263,664.55/1,144.79
  6. Step 6: Final answer
    x = 1,103.84

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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.