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Finding the Fourth Proportional to 796.40, 1,194.86 and 505.71

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Solution

The fourth proportional to 796.40, 1,194.86 and 505.71 is: 758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.40 : 1,194.86 = 505.71 : x
  2. Step 2: Convert to fraction form
    796.40/1,194.86 = 505.71/x
  3. Step 3: Cross multiply
    796.40x = 1,194.86 × 505.71
  4. Step 4: Simplify right side
    796.40x = 604,252.65
  5. Step 5: Solve for x
    x = 604,252.65/796.40
  6. Step 6: Final answer
    x = 758.73

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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.