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Finding the Fourth Proportional to 798.26, 1,194.65 and 730.82

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Solution

The fourth proportional to 798.26, 1,194.65 and 730.82 is: 1,093.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.26 : 1,194.65 = 730.82 : x
  2. Step 2: Convert to fraction form
    798.26/1,194.65 = 730.82/x
  3. Step 3: Cross multiply
    798.26x = 1,194.65 × 730.82
  4. Step 4: Simplify right side
    798.26x = 873,076.19
  5. Step 5: Solve for x
    x = 873,076.19/798.26
  6. Step 6: Final answer
    x = 1,093.73

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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.