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Finding the Fourth Proportional to 879.96, 1,214.58 and 506.97

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Solution

The fourth proportional to 879.96, 1,214.58 and 506.97 is: 699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.96 : 1,214.58 = 506.97 : x
  2. Step 2: Convert to fraction form
    879.96/1,214.58 = 506.97/x
  3. Step 3: Cross multiply
    879.96x = 1,214.58 × 506.97
  4. Step 4: Simplify right side
    879.96x = 615,755.62
  5. Step 5: Solve for x
    x = 615,755.62/879.96
  6. Step 6: Final answer
    x = 699.75

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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.