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Finding the Fourth Proportional to 668.87, 1,004.37 and 284.39

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Solution

The fourth proportional to 668.87, 1,004.37 and 284.39 is: 427.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.87 : 1,004.37 = 284.39 : x
  2. Step 2: Convert to fraction form
    668.87/1,004.37 = 284.39/x
  3. Step 3: Cross multiply
    668.87x = 1,004.37 × 284.39
  4. Step 4: Simplify right side
    668.87x = 285,632.78
  5. Step 5: Solve for x
    x = 285,632.78/668.87
  6. Step 6: Final answer
    x = 427.04

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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.