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Finding the Fourth Proportional to 730.35, 1,008.09 and 481.86

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Solution

The fourth proportional to 730.35, 1,008.09 and 481.86 is: 665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.35 : 1,008.09 = 481.86 : x
  2. Step 2: Convert to fraction form
    730.35/1,008.09 = 481.86/x
  3. Step 3: Cross multiply
    730.35x = 1,008.09 × 481.86
  4. Step 4: Simplify right side
    730.35x = 485,758.25
  5. Step 5: Solve for x
    x = 485,758.25/730.35
  6. Step 6: Final answer
    x = 665.10

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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.