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Finding the Fourth Proportional to 835.43, 1,152.86 and 481.30

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Solution

The fourth proportional to 835.43, 1,152.86 and 481.30 is: 664.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.43 : 1,152.86 = 481.30 : x
  2. Step 2: Convert to fraction form
    835.43/1,152.86 = 481.30/x
  3. Step 3: Cross multiply
    835.43x = 1,152.86 × 481.30
  4. Step 4: Simplify right side
    835.43x = 554,866.23
  5. Step 5: Solve for x
    x = 554,866.23/835.43
  6. Step 6: Final answer
    x = 664.17

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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.