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Finding the Fourth Proportional to 669.35, 1,004.09 and 182.39

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Solution

The fourth proportional to 669.35, 1,004.09 and 182.39 is: 273.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.35 : 1,004.09 = 182.39 : x
  2. Step 2: Convert to fraction form
    669.35/1,004.09 = 182.39/x
  3. Step 3: Cross multiply
    669.35x = 1,004.09 × 182.39
  4. Step 4: Simplify right side
    669.35x = 183,137.57
  5. Step 5: Solve for x
    x = 183,137.57/669.35
  6. Step 6: Final answer
    x = 273.60

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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.