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Finding the Fourth Proportional to 787.92, 1,181.88 and 274.80

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Solution

The fourth proportional to 787.92, 1,181.88 and 274.80 is: 412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.92 : 1,181.88 = 274.80 : x
  2. Step 2: Convert to fraction form
    787.92/1,181.88 = 274.80/x
  3. Step 3: Cross multiply
    787.92x = 1,181.88 × 274.80
  4. Step 4: Simplify right side
    787.92x = 324,780.62
  5. Step 5: Solve for x
    x = 324,780.62/787.92
  6. Step 6: Final answer
    x = 412.20

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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.