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Finding the Fourth Proportional to 668.12, 1,001.67 and 451.23

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Solution

The fourth proportional to 668.12, 1,001.67 and 451.23 is: 676.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.12 : 1,001.67 = 451.23 : x
  2. Step 2: Convert to fraction form
    668.12/1,001.67 = 451.23/x
  3. Step 3: Cross multiply
    668.12x = 1,001.67 × 451.23
  4. Step 4: Simplify right side
    668.12x = 451,983.55
  5. Step 5: Solve for x
    x = 451,983.55/668.12
  6. Step 6: Final answer
    x = 676.51

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Double scale
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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.