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Finding the Fourth Proportional to 669.92, 1,004.87 and 182.97

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Solution

The fourth proportional to 669.92, 1,004.87 and 182.97 is: 274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.92 : 1,004.87 = 182.97 : x
  2. Step 2: Convert to fraction form
    669.92/1,004.87 = 182.97/x
  3. Step 3: Cross multiply
    669.92x = 1,004.87 × 182.97
  4. Step 4: Simplify right side
    669.92x = 183,860.15
  5. Step 5: Solve for x
    x = 183,860.15/669.92
  6. Step 6: Final answer
    x = 274.45

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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.