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Finding the Fourth Proportional to 546.59, 819.65 and 519.24

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Solution

The fourth proportional to 546.59, 819.65 and 519.24 is: 778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.59 : 819.65 = 519.24 : x
  2. Step 2: Convert to fraction form
    546.59/819.65 = 519.24/x
  3. Step 3: Cross multiply
    546.59x = 819.65 × 519.24
  4. Step 4: Simplify right side
    546.59x = 425,592.47
  5. Step 5: Solve for x
    x = 425,592.47/546.59
  6. Step 6: Final answer
    x = 778.64

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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.