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Finding the Fourth Proportional to 787.32, 1,181.59 and 633.62

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Solution

The fourth proportional to 787.32, 1,181.59 and 633.62 is: 950.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.32 : 1,181.59 = 633.62 : x
  2. Step 2: Convert to fraction form
    787.32/1,181.59 = 633.62/x
  3. Step 3: Cross multiply
    787.32x = 1,181.59 × 633.62
  4. Step 4: Simplify right side
    787.32x = 748,680.43
  5. Step 5: Solve for x
    x = 748,680.43/787.32
  6. Step 6: Final answer
    x = 950.92

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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.