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Finding the Fourth Proportional to 593.02, 819.03 and 584.92

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Solution

The fourth proportional to 593.02, 819.03 and 584.92 is: 807.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.02 : 819.03 = 584.92 : x
  2. Step 2: Convert to fraction form
    593.02/819.03 = 584.92/x
  3. Step 3: Cross multiply
    593.02x = 819.03 × 584.92
  4. Step 4: Simplify right side
    593.02x = 479,067.03
  5. Step 5: Solve for x
    x = 479,067.03/593.02
  6. Step 6: Final answer
    x = 807.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.