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Finding the Fourth Proportional to 734.83, 1,102.16 and 247.88

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Solution

The fourth proportional to 734.83, 1,102.16 and 247.88 is: 371.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.83 : 1,102.16 = 247.88 : x
  2. Step 2: Convert to fraction form
    734.83/1,102.16 = 247.88/x
  3. Step 3: Cross multiply
    734.83x = 1,102.16 × 247.88
  4. Step 4: Simplify right side
    734.83x = 273,203.42
  5. Step 5: Solve for x
    x = 273,203.42/734.83
  6. Step 6: Final answer
    x = 371.79

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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.