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Finding the Fourth Proportional to 865.33, 1,194.23 and 506.52

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Solution

The fourth proportional to 865.33, 1,194.23 and 506.52 is: 699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.33 : 1,194.23 = 506.52 : x
  2. Step 2: Convert to fraction form
    865.33/1,194.23 = 506.52/x
  3. Step 3: Cross multiply
    865.33x = 1,194.23 × 506.52
  4. Step 4: Simplify right side
    865.33x = 604,902.65
  5. Step 5: Solve for x
    x = 604,902.65/865.33
  6. Step 6: Final answer
    x = 699.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.