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Finding the Fourth Proportional to 1,193.43, 1,787.05 and 824.37

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Solution

The fourth proportional to 1,193.43, 1,787.05 and 824.37 is: 1,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.43 : 1,787.05 = 824.37 : x
  2. Step 2: Convert to fraction form
    1,193.43/1,787.05 = 824.37/x
  3. Step 3: Cross multiply
    1,193.43x = 1,787.05 × 824.37
  4. Step 4: Simplify right side
    1,193.43x = 1,473,190.41
  5. Step 5: Solve for x
    x = 1,473,190.41/1,193.43
  6. Step 6: Final answer
    x = 1,234.42

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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.