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Finding the Fourth Proportional to 593.92, 822.92 and 580.48

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Solution

The fourth proportional to 593.92, 822.92 and 580.48 is: 804.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.92 : 822.92 = 580.48 : x
  2. Step 2: Convert to fraction form
    593.92/822.92 = 580.48/x
  3. Step 3: Cross multiply
    593.92x = 822.92 × 580.48
  4. Step 4: Simplify right side
    593.92x = 477,688.60
  5. Step 5: Solve for x
    x = 477,688.60/593.92
  6. Step 6: Final answer
    x = 804.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.