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Finding the Fourth Proportional to 795.09, 1,192.83 and 308.17

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Solution

The fourth proportional to 795.09, 1,192.83 and 308.17 is: 462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.09 : 1,192.83 = 308.17 : x
  2. Step 2: Convert to fraction form
    795.09/1,192.83 = 308.17/x
  3. Step 3: Cross multiply
    795.09x = 1,192.83 × 308.17
  4. Step 4: Simplify right side
    795.09x = 367,594.42
  5. Step 5: Solve for x
    x = 367,594.42/795.09
  6. Step 6: Final answer
    x = 462.33

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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.