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Finding the Fourth Proportional to 787.05, 1,179.56 and 324.30

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Solution

The fourth proportional to 787.05, 1,179.56 and 324.30 is: 486.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.05 : 1,179.56 = 324.30 : x
  2. Step 2: Convert to fraction form
    787.05/1,179.56 = 324.30/x
  3. Step 3: Cross multiply
    787.05x = 1,179.56 × 324.30
  4. Step 4: Simplify right side
    787.05x = 382,531.31
  5. Step 5: Solve for x
    x = 382,531.31/787.05
  6. Step 6: Final answer
    x = 486.03

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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.