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Finding the Fourth Proportional to 787.41, 1,181.09 and 422.91

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Solution

The fourth proportional to 787.41, 1,181.09 and 422.91 is: 634.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.41 : 1,181.09 = 422.91 : x
  2. Step 2: Convert to fraction form
    787.41/1,181.09 = 422.91/x
  3. Step 3: Cross multiply
    787.41x = 1,181.09 × 422.91
  4. Step 4: Simplify right side
    787.41x = 499,492.66
  5. Step 5: Solve for x
    x = 499,492.66/787.41
  6. Step 6: Final answer
    x = 634.35

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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.