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Finding the Fourth Proportional to 1,189.72, 1,784.22 and 323.92

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Solution

The fourth proportional to 1,189.72, 1,784.22 and 323.92 is: 485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.72 : 1,784.22 = 323.92 : x
  2. Step 2: Convert to fraction form
    1,189.72/1,784.22 = 323.92/x
  3. Step 3: Cross multiply
    1,189.72x = 1,784.22 × 323.92
  4. Step 4: Simplify right side
    1,189.72x = 577,944.54
  5. Step 5: Solve for x
    x = 577,944.54/1,189.72
  6. Step 6: Final answer
    x = 485.78

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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.