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Finding the Fourth Proportional to 787.19, 1,181.94 and 441.20

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Solution

The fourth proportional to 787.19, 1,181.94 and 441.20 is: 662.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.19 : 1,181.94 = 441.20 : x
  2. Step 2: Convert to fraction form
    787.19/1,181.94 = 441.20/x
  3. Step 3: Cross multiply
    787.19x = 1,181.94 × 441.20
  4. Step 4: Simplify right side
    787.19x = 521,466.02
  5. Step 5: Solve for x
    x = 521,466.02/787.19
  6. Step 6: Final answer
    x = 662.44

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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.