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Finding the Fourth Proportional to 676.30, 1,014 and 546.46

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Solution

The fourth proportional to 676.30, 1,014 and 546.46 is: 819.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.30 : 1,014 = 546.46 : x
  2. Step 2: Convert to fraction form
    676.30/1,014 = 546.46/x
  3. Step 3: Cross multiply
    676.30x = 1,014 × 546.46
  4. Step 4: Simplify right side
    676.30x = 554,110.44
  5. Step 5: Solve for x
    x = 554,110.44/676.30
  6. Step 6: Final answer
    x = 819.33

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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.