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Finding the Fourth Proportional to 787.41, 1,181.61 and 684.54

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Solution

The fourth proportional to 787.41, 1,181.61 and 684.54 is: 1,027.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.41 : 1,181.61 = 684.54 : x
  2. Step 2: Convert to fraction form
    787.41/1,181.61 = 684.54/x
  3. Step 3: Cross multiply
    787.41x = 1,181.61 × 684.54
  4. Step 4: Simplify right side
    787.41x = 808,859.31
  5. Step 5: Solve for x
    x = 808,859.31/787.41
  6. Step 6: Final answer
    x = 1,027.24

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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.