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Finding the Fourth Proportional to 879.83, 1,214.29 and 506.74

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Solution

The fourth proportional to 879.83, 1,214.29 and 506.74 is: 699.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.83 : 1,214.29 = 506.74 : x
  2. Step 2: Convert to fraction form
    879.83/1,214.29 = 506.74/x
  3. Step 3: Cross multiply
    879.83x = 1,214.29 × 506.74
  4. Step 4: Simplify right side
    879.83x = 615,326.03
  5. Step 5: Solve for x
    x = 615,326.03/879.83
  6. Step 6: Final answer
    x = 699.37

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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.