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Finding the Fourth Proportional to 669.57, 1,004.22 and 194.51

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Solution

The fourth proportional to 669.57, 1,004.22 and 194.51 is: 291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.57 : 1,004.22 = 194.51 : x
  2. Step 2: Convert to fraction form
    669.57/1,004.22 = 194.51/x
  3. Step 3: Cross multiply
    669.57x = 1,004.22 × 194.51
  4. Step 4: Simplify right side
    669.57x = 195,330.83
  5. Step 5: Solve for x
    x = 195,330.83/669.57
  6. Step 6: Final answer
    x = 291.73

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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.