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Finding the Fourth Proportional to 1,432.80, 1,976.74 and 843.34

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Solution

The fourth proportional to 1,432.80, 1,976.74 and 843.34 is: 1,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.80 : 1,976.74 = 843.34 : x
  2. Step 2: Convert to fraction form
    1,432.80/1,976.74 = 843.34/x
  3. Step 3: Cross multiply
    1,432.80x = 1,976.74 × 843.34
  4. Step 4: Simplify right side
    1,432.80x = 1,667,063.91
  5. Step 5: Solve for x
    x = 1,667,063.91/1,432.80
  6. Step 6: Final answer
    x = 1,163.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.