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Finding the Fourth Proportional to 796.05, 1,193.96 and 302.47

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Solution

The fourth proportional to 796.05, 1,193.96 and 302.47 is: 453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.05 : 1,193.96 = 302.47 : x
  2. Step 2: Convert to fraction form
    796.05/1,193.96 = 302.47/x
  3. Step 3: Cross multiply
    796.05x = 1,193.96 × 302.47
  4. Step 4: Simplify right side
    796.05x = 361,134.85
  5. Step 5: Solve for x
    x = 361,134.85/796.05
  6. Step 6: Final answer
    x = 453.66

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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.