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Finding the Fourth Proportional to 794.76, 1,192.83 and 332.85

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Solution

The fourth proportional to 794.76, 1,192.83 and 332.85 is: 499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.76 : 1,192.83 = 332.85 : x
  2. Step 2: Convert to fraction form
    794.76/1,192.83 = 332.85/x
  3. Step 3: Cross multiply
    794.76x = 1,192.83 × 332.85
  4. Step 4: Simplify right side
    794.76x = 397,033.47
  5. Step 5: Solve for x
    x = 397,033.47/794.76
  6. Step 6: Final answer
    x = 499.56

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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.