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Finding the Fourth Proportional to 796.80, 1,193.46 and 385.07

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Solution

The fourth proportional to 796.80, 1,193.46 and 385.07 is: 576.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.80 : 1,193.46 = 385.07 : x
  2. Step 2: Convert to fraction form
    796.80/1,193.46 = 385.07/x
  3. Step 3: Cross multiply
    796.80x = 1,193.46 × 385.07
  4. Step 4: Simplify right side
    796.80x = 459,562.21
  5. Step 5: Solve for x
    x = 459,562.21/796.80
  6. Step 6: Final answer
    x = 576.76

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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.