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Finding the Fourth Proportional to 879.43, 1,213.68 and 506.53

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Solution

The fourth proportional to 879.43, 1,213.68 and 506.53 is: 699.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.43 : 1,213.68 = 506.53 : x
  2. Step 2: Convert to fraction form
    879.43/1,213.68 = 506.53/x
  3. Step 3: Cross multiply
    879.43x = 1,213.68 × 506.53
  4. Step 4: Simplify right side
    879.43x = 614,759.26
  5. Step 5: Solve for x
    x = 614,759.26/879.43
  6. Step 6: Final answer
    x = 699.05

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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.