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Finding the Fourth Proportional to 668.69, 1,001.94 and 408.77

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Solution

The fourth proportional to 668.69, 1,001.94 and 408.77 is: 612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.69 : 1,001.94 = 408.77 : x
  2. Step 2: Convert to fraction form
    668.69/1,001.94 = 408.77/x
  3. Step 3: Cross multiply
    668.69x = 1,001.94 × 408.77
  4. Step 4: Simplify right side
    668.69x = 409,563.01
  5. Step 5: Solve for x
    x = 409,563.01/668.69
  6. Step 6: Final answer
    x = 612.49

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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.