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Finding the Fourth Proportional to 879.82, 1,318.26 and 533.24

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Solution

The fourth proportional to 879.82, 1,318.26 and 533.24 is: 798.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.82 : 1,318.26 = 533.24 : x
  2. Step 2: Convert to fraction form
    879.82/1,318.26 = 533.24/x
  3. Step 3: Cross multiply
    879.82x = 1,318.26 × 533.24
  4. Step 4: Simplify right side
    879.82x = 702,949.31
  5. Step 5: Solve for x
    x = 702,949.31/879.82
  6. Step 6: Final answer
    x = 798.97

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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.