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Finding the Fourth Proportional to 668.32, 1,000.85 and 408.43

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Solution

The fourth proportional to 668.32, 1,000.85 and 408.43 is: 611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.32 : 1,000.85 = 408.43 : x
  2. Step 2: Convert to fraction form
    668.32/1,000.85 = 408.43/x
  3. Step 3: Cross multiply
    668.32x = 1,000.85 × 408.43
  4. Step 4: Simplify right side
    668.32x = 408,775.12
  5. Step 5: Solve for x
    x = 408,775.12/668.32
  6. Step 6: Final answer
    x = 611.65

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