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Finding the Fourth Proportional to 793.84, 1,191.21 and 428.62

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Solution

The fourth proportional to 793.84, 1,191.21 and 428.62 is: 643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.84 : 1,191.21 = 428.62 : x
  2. Step 2: Convert to fraction form
    793.84/1,191.21 = 428.62/x
  3. Step 3: Cross multiply
    793.84x = 1,191.21 × 428.62
  4. Step 4: Simplify right side
    793.84x = 510,576.43
  5. Step 5: Solve for x
    x = 510,576.43/793.84
  6. Step 6: Final answer
    x = 643.17

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Why These Related Problems?

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