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Finding the Fourth Proportional to 835.92, 1,153.50 and 481.83

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Solution

The fourth proportional to 835.92, 1,153.50 and 481.83 is: 664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.92 : 1,153.50 = 481.83 : x
  2. Step 2: Convert to fraction form
    835.92/1,153.50 = 481.83/x
  3. Step 3: Cross multiply
    835.92x = 1,153.50 × 481.83
  4. Step 4: Simplify right side
    835.92x = 555,790.91
  5. Step 5: Solve for x
    x = 555,790.91/835.92
  6. Step 6: Final answer
    x = 664.89

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Why These Related Problems?

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