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Finding the Fourth Proportional to 795.73, 1,192.69 and 308.29

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Solution

The fourth proportional to 795.73, 1,192.69 and 308.29 is: 462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.73 : 1,192.69 = 308.29 : x
  2. Step 2: Convert to fraction form
    795.73/1,192.69 = 308.29/x
  3. Step 3: Cross multiply
    795.73x = 1,192.69 × 308.29
  4. Step 4: Simplify right side
    795.73x = 367,694.40
  5. Step 5: Solve for x
    x = 367,694.40/795.73
  6. Step 6: Final answer
    x = 462.08

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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.