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Finding the Fourth Proportional to 734.92, 1,102.48 and 247.86

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Solution

The fourth proportional to 734.92, 1,102.48 and 247.86 is: 371.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.92 : 1,102.48 = 247.86 : x
  2. Step 2: Convert to fraction form
    734.92/1,102.48 = 247.86/x
  3. Step 3: Cross multiply
    734.92x = 1,102.48 × 247.86
  4. Step 4: Simplify right side
    734.92x = 273,260.07
  5. Step 5: Solve for x
    x = 273,260.07/734.92
  6. Step 6: Final answer
    x = 371.82

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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.