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Finding the Fourth Proportional to 668.60, 1,003.44 and 284.12

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Solution

The fourth proportional to 668.60, 1,003.44 and 284.12 is: 426.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.60 : 1,003.44 = 284.12 : x
  2. Step 2: Convert to fraction form
    668.60/1,003.44 = 284.12/x
  3. Step 3: Cross multiply
    668.60x = 1,003.44 × 284.12
  4. Step 4: Simplify right side
    668.60x = 285,094.15
  5. Step 5: Solve for x
    x = 285,094.15/668.60
  6. Step 6: Final answer
    x = 426.41

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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.