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Finding the Fourth Proportional to 794.65, 1,192.44 and 332.39

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Solution

The fourth proportional to 794.65, 1,192.44 and 332.39 is: 498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.65 : 1,192.44 = 332.39 : x
  2. Step 2: Convert to fraction form
    794.65/1,192.44 = 332.39/x
  3. Step 3: Cross multiply
    794.65x = 1,192.44 × 332.39
  4. Step 4: Simplify right side
    794.65x = 396,355.13
  5. Step 5: Solve for x
    x = 396,355.13/794.65
  6. Step 6: Final answer
    x = 498.78

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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.