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Finding the Fourth Proportional to 734.63, 1,102.55 and 301.82

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Solution

The fourth proportional to 734.63, 1,102.55 and 301.82 is: 452.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.63 : 1,102.55 = 301.82 : x
  2. Step 2: Convert to fraction form
    734.63/1,102.55 = 301.82/x
  3. Step 3: Cross multiply
    734.63x = 1,102.55 × 301.82
  4. Step 4: Simplify right side
    734.63x = 332,764.62
  5. Step 5: Solve for x
    x = 332,764.62/734.63
  6. Step 6: Final answer
    x = 452.97

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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.