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Finding the Fourth Proportional to 787.92, 1,182.28 and 441.64

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Solution

The fourth proportional to 787.92, 1,182.28 and 441.64 is: 662.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.92 : 1,182.28 = 441.64 : x
  2. Step 2: Convert to fraction form
    787.92/1,182.28 = 441.64/x
  3. Step 3: Cross multiply
    787.92x = 1,182.28 × 441.64
  4. Step 4: Simplify right side
    787.92x = 522,142.14
  5. Step 5: Solve for x
    x = 522,142.14/787.92
  6. Step 6: Final answer
    x = 662.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.