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Finding the Fourth Proportional to 735.33, 1,014.73 and 440.43

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Solution

The fourth proportional to 735.33, 1,014.73 and 440.43 is: 607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.33 : 1,014.73 = 440.43 : x
  2. Step 2: Convert to fraction form
    735.33/1,014.73 = 440.43/x
  3. Step 3: Cross multiply
    735.33x = 1,014.73 × 440.43
  4. Step 4: Simplify right side
    735.33x = 446,917.53
  5. Step 5: Solve for x
    x = 446,917.53/735.33
  6. Step 6: Final answer
    x = 607.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.