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Finding the Fourth Proportional to 820.36, 1,234.67 and 616

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Solution

The fourth proportional to 820.36, 1,234.67 and 616 is: 927.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.36 : 1,234.67 = 616 : x
  2. Step 2: Convert to fraction form
    820.36/1,234.67 = 616/x
  3. Step 3: Cross multiply
    820.36x = 1,234.67 × 616
  4. Step 4: Simplify right side
    820.36x = 760,556.72
  5. Step 5: Solve for x
    x = 760,556.72/820.36
  6. Step 6: Final answer
    x = 927.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.