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Finding the Fourth Proportional to 795.77, 1,192.96 and 275.41

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Solution

The fourth proportional to 795.77, 1,192.96 and 275.41 is: 412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.77 : 1,192.96 = 275.41 : x
  2. Step 2: Convert to fraction form
    795.77/1,192.96 = 275.41/x
  3. Step 3: Cross multiply
    795.77x = 1,192.96 × 275.41
  4. Step 4: Simplify right side
    795.77x = 328,553.11
  5. Step 5: Solve for x
    x = 328,553.11/795.77
  6. Step 6: Final answer
    x = 412.87

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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.