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Finding the Fourth Proportional to 547.63, 819.82 and 546.91

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Solution

The fourth proportional to 547.63, 819.82 and 546.91 is: 818.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.63 : 819.82 = 546.91 : x
  2. Step 2: Convert to fraction form
    547.63/819.82 = 546.91/x
  3. Step 3: Cross multiply
    547.63x = 819.82 × 546.91
  4. Step 4: Simplify right side
    547.63x = 448,367.76
  5. Step 5: Solve for x
    x = 448,367.76/547.63
  6. Step 6: Final answer
    x = 818.74

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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.