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Finding the Fourth Proportional to 835.55, 1,153.16 and 481.46

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Solution

The fourth proportional to 835.55, 1,153.16 and 481.46 is: 664.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.55 : 1,153.16 = 481.46 : x
  2. Step 2: Convert to fraction form
    835.55/1,153.16 = 481.46/x
  3. Step 3: Cross multiply
    835.55x = 1,153.16 × 481.46
  4. Step 4: Simplify right side
    835.55x = 555,195.85
  5. Step 5: Solve for x
    x = 555,195.85/835.55
  6. Step 6: Final answer
    x = 664.47

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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.