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Finding the Fourth Proportional to 787.21, 1,180.89 and 300.67

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Solution

The fourth proportional to 787.21, 1,180.89 and 300.67 is: 451.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.21 : 1,180.89 = 300.67 : x
  2. Step 2: Convert to fraction form
    787.21/1,180.89 = 300.67/x
  3. Step 3: Cross multiply
    787.21x = 1,180.89 × 300.67
  4. Step 4: Simplify right side
    787.21x = 355,051.54
  5. Step 5: Solve for x
    x = 355,051.54/787.21
  6. Step 6: Final answer
    x = 451.03

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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.