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Finding the Fourth Proportional to 795.41, 1,192.28 and 538.37

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Solution

The fourth proportional to 795.41, 1,192.28 and 538.37 is: 806.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.41 : 1,192.28 = 538.37 : x
  2. Step 2: Convert to fraction form
    795.41/1,192.28 = 538.37/x
  3. Step 3: Cross multiply
    795.41x = 1,192.28 × 538.37
  4. Step 4: Simplify right side
    795.41x = 641,885.09
  5. Step 5: Solve for x
    x = 641,885.09/795.41
  6. Step 6: Final answer
    x = 806.99

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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.