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Finding the Fourth Proportional to 794.50, 1,192.23 and 338.50

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Solution

The fourth proportional to 794.50, 1,192.23 and 338.50 is: 507.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.50 : 1,192.23 = 338.50 : x
  2. Step 2: Convert to fraction form
    794.50/1,192.23 = 338.50/x
  3. Step 3: Cross multiply
    794.50x = 1,192.23 × 338.50
  4. Step 4: Simplify right side
    794.50x = 403,569.86
  5. Step 5: Solve for x
    x = 403,569.86/794.50
  6. Step 6: Final answer
    x = 507.95

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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.