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Finding the Fourth Proportional to 819.88, 1,228.12 and 546.10

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Solution

The fourth proportional to 819.88, 1,228.12 and 546.10 is: 818.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.88 : 1,228.12 = 546.10 : x
  2. Step 2: Convert to fraction form
    819.88/1,228.12 = 546.10/x
  3. Step 3: Cross multiply
    819.88x = 1,228.12 × 546.10
  4. Step 4: Simplify right side
    819.88x = 670,676.33
  5. Step 5: Solve for x
    x = 670,676.33/819.88
  6. Step 6: Final answer
    x = 818.02

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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.