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Finding the Fourth Proportional to 820.91, 1,232.14 and 301.41

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Solution

The fourth proportional to 820.91, 1,232.14 and 301.41 is: 452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.91 : 1,232.14 = 301.41 : x
  2. Step 2: Convert to fraction form
    820.91/1,232.14 = 301.41/x
  3. Step 3: Cross multiply
    820.91x = 1,232.14 × 301.41
  4. Step 4: Simplify right side
    820.91x = 371,379.32
  5. Step 5: Solve for x
    x = 371,379.32/820.91
  6. Step 6: Final answer
    x = 452.40

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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.