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Finding the Fourth Proportional to 835.86, 1,153.32 and 481.75

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Solution

The fourth proportional to 835.86, 1,153.32 and 481.75 is: 664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.86 : 1,153.32 = 481.75 : x
  2. Step 2: Convert to fraction form
    835.86/1,153.32 = 481.75/x
  3. Step 3: Cross multiply
    835.86x = 1,153.32 × 481.75
  4. Step 4: Simplify right side
    835.86x = 555,611.91
  5. Step 5: Solve for x
    x = 555,611.91/835.86
  6. Step 6: Final answer
    x = 664.72

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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.