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Finding the Fourth Proportional to 879.64, 1,213.94 and 506.68

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Solution

The fourth proportional to 879.64, 1,213.94 and 506.68 is: 699.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.64 : 1,213.94 = 506.68 : x
  2. Step 2: Convert to fraction form
    879.64/1,213.94 = 506.68/x
  3. Step 3: Cross multiply
    879.64x = 1,213.94 × 506.68
  4. Step 4: Simplify right side
    879.64x = 615,074.32
  5. Step 5: Solve for x
    x = 615,074.32/879.64
  6. Step 6: Final answer
    x = 699.24

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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.