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Finding the Fourth Proportional to 879.30, 1,213.24 and 506.07

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Solution

The fourth proportional to 879.30, 1,213.24 and 506.07 is: 698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.30 : 1,213.24 = 506.07 : x
  2. Step 2: Convert to fraction form
    879.30/1,213.24 = 506.07/x
  3. Step 3: Cross multiply
    879.30x = 1,213.24 × 506.07
  4. Step 4: Simplify right side
    879.30x = 613,983.10
  5. Step 5: Solve for x
    x = 613,983.10/879.30
  6. Step 6: Final answer
    x = 698.26

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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.