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Finding the Fourth Proportional to 835.66, 1,153.15 and 481.58

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Solution

The fourth proportional to 835.66, 1,153.15 and 481.58 is: 664.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.66 : 1,153.15 = 481.58 : x
  2. Step 2: Convert to fraction form
    835.66/1,153.15 = 481.58/x
  3. Step 3: Cross multiply
    835.66x = 1,153.15 × 481.58
  4. Step 4: Simplify right side
    835.66x = 555,327.01
  5. Step 5: Solve for x
    x = 555,327.01/835.66
  6. Step 6: Final answer
    x = 664.54

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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.