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Finding the Fourth Proportional to 668.06, 1,001.42 and 394.10

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Solution

The fourth proportional to 668.06, 1,001.42 and 394.10 is: 590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.06 : 1,001.42 = 394.10 : x
  2. Step 2: Convert to fraction form
    668.06/1,001.42 = 394.10/x
  3. Step 3: Cross multiply
    668.06x = 1,001.42 × 394.10
  4. Step 4: Simplify right side
    668.06x = 394,659.62
  5. Step 5: Solve for x
    x = 394,659.62/668.06
  6. Step 6: Final answer
    x = 590.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.