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Finding the Fourth Proportional to 546.02, 819.84 and 519.59

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Solution

The fourth proportional to 546.02, 819.84 and 519.59 is: 780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.02 : 819.84 = 519.59 : x
  2. Step 2: Convert to fraction form
    546.02/819.84 = 519.59/x
  3. Step 3: Cross multiply
    546.02x = 819.84 × 519.59
  4. Step 4: Simplify right side
    546.02x = 425,980.67
  5. Step 5: Solve for x
    x = 425,980.67/546.02
  6. Step 6: Final answer
    x = 780.16

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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.