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Finding the Fourth Proportional to 735.70, 1,015.26 and 441.04

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Solution

The fourth proportional to 735.70, 1,015.26 and 441.04 is: 608.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.70 : 1,015.26 = 441.04 : x
  2. Step 2: Convert to fraction form
    735.70/1,015.26 = 441.04/x
  3. Step 3: Cross multiply
    735.70x = 1,015.26 × 441.04
  4. Step 4: Simplify right side
    735.70x = 447,770.27
  5. Step 5: Solve for x
    x = 447,770.27/735.70
  6. Step 6: Final answer
    x = 608.63

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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.