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Finding the Fourth Proportional to 735.79, 1,103.68 and 273.55

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Solution

The fourth proportional to 735.79, 1,103.68 and 273.55 is: 410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.79 : 1,103.68 = 273.55 : x
  2. Step 2: Convert to fraction form
    735.79/1,103.68 = 273.55/x
  3. Step 3: Cross multiply
    735.79x = 1,103.68 × 273.55
  4. Step 4: Simplify right side
    735.79x = 301,915.12
  5. Step 5: Solve for x
    x = 301,915.12/735.79
  6. Step 6: Final answer
    x = 410.33

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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.