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Finding the Fourth Proportional to 668.79, 1,004.94 and 408.83

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Solution

The fourth proportional to 668.79, 1,004.94 and 408.83 is: 614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.79 : 1,004.94 = 408.83 : x
  2. Step 2: Convert to fraction form
    668.79/1,004.94 = 408.83/x
  3. Step 3: Cross multiply
    668.79x = 1,004.94 × 408.83
  4. Step 4: Simplify right side
    668.79x = 410,844.60
  5. Step 5: Solve for x
    x = 410,844.60/668.79
  6. Step 6: Final answer
    x = 614.31

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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.