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Finding the Fourth Proportional to 796.65, 1,194.25 and 309.58

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Solution

The fourth proportional to 796.65, 1,194.25 and 309.58 is: 464.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.65 : 1,194.25 = 309.58 : x
  2. Step 2: Convert to fraction form
    796.65/1,194.25 = 309.58/x
  3. Step 3: Cross multiply
    796.65x = 1,194.25 × 309.58
  4. Step 4: Simplify right side
    796.65x = 369,715.92
  5. Step 5: Solve for x
    x = 369,715.92/796.65
  6. Step 6: Final answer
    x = 464.09

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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.