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Finding the Fourth Proportional to 735.86, 1,109.09 and 634.37

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Solution

The fourth proportional to 735.86, 1,109.09 and 634.37 is: 956.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.86 : 1,109.09 = 634.37 : x
  2. Step 2: Convert to fraction form
    735.86/1,109.09 = 634.37/x
  3. Step 3: Cross multiply
    735.86x = 1,109.09 × 634.37
  4. Step 4: Simplify right side
    735.86x = 703,573.02
  5. Step 5: Solve for x
    x = 703,573.02/735.86
  6. Step 6: Final answer
    x = 956.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.