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Finding the Fourth Proportional to 1,432.62, 1,976.67 and 908.46

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Solution

The fourth proportional to 1,432.62, 1,976.67 and 908.46 is: 1,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.62 : 1,976.67 = 908.46 : x
  2. Step 2: Convert to fraction form
    1,432.62/1,976.67 = 908.46/x
  3. Step 3: Cross multiply
    1,432.62x = 1,976.67 × 908.46
  4. Step 4: Simplify right side
    1,432.62x = 1,795,725.63
  5. Step 5: Solve for x
    x = 1,795,725.63/1,432.62
  6. Step 6: Final answer
    x = 1,253.46

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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.