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Finding the Fourth Proportional to 668.44, 1,001.80 and 462.68

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Solution

The fourth proportional to 668.44, 1,001.80 and 462.68 is: 693.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.44 : 1,001.80 = 462.68 : x
  2. Step 2: Convert to fraction form
    668.44/1,001.80 = 462.68/x
  3. Step 3: Cross multiply
    668.44x = 1,001.80 × 462.68
  4. Step 4: Simplify right side
    668.44x = 463,512.82
  5. Step 5: Solve for x
    x = 463,512.82/668.44
  6. Step 6: Final answer
    x = 693.42

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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.