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Finding the Fourth Proportional to 891.97, 1,337.39 and 428.83

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Solution

The fourth proportional to 891.97, 1,337.39 and 428.83 is: 642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.97 : 1,337.39 = 428.83 : x
  2. Step 2: Convert to fraction form
    891.97/1,337.39 = 428.83/x
  3. Step 3: Cross multiply
    891.97x = 1,337.39 × 428.83
  4. Step 4: Simplify right side
    891.97x = 573,511.58
  5. Step 5: Solve for x
    x = 573,511.58/891.97
  6. Step 6: Final answer
    x = 642.97

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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.