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Finding the Fourth Proportional to 820.10, 1,229.34 and 386.75

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Solution

The fourth proportional to 820.10, 1,229.34 and 386.75 is: 579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.10 : 1,229.34 = 386.75 : x
  2. Step 2: Convert to fraction form
    820.10/1,229.34 = 386.75/x
  3. Step 3: Cross multiply
    820.10x = 1,229.34 × 386.75
  4. Step 4: Simplify right side
    820.10x = 475,447.25
  5. Step 5: Solve for x
    x = 475,447.25/820.10
  6. Step 6: Final answer
    x = 579.74

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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.