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Finding the Fourth Proportional to 879.37, 1,213.30 and 596.31

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Solution

The fourth proportional to 879.37, 1,213.30 and 596.31 is: 822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.37 : 1,213.30 = 596.31 : x
  2. Step 2: Convert to fraction form
    879.37/1,213.30 = 596.31/x
  3. Step 3: Cross multiply
    879.37x = 1,213.30 × 596.31
  4. Step 4: Simplify right side
    879.37x = 723,502.92
  5. Step 5: Solve for x
    x = 723,502.92/879.37
  6. Step 6: Final answer
    x = 822.75

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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.