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Finding the Fourth Proportional to 879.82, 1,214.10 and 506.74

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Solution

The fourth proportional to 879.82, 1,214.10 and 506.74 is: 699.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.82 : 1,214.10 = 506.74 : x
  2. Step 2: Convert to fraction form
    879.82/1,214.10 = 506.74/x
  3. Step 3: Cross multiply
    879.82x = 1,214.10 × 506.74
  4. Step 4: Simplify right side
    879.82x = 615,233.03
  5. Step 5: Solve for x
    x = 615,233.03/879.82
  6. Step 6: Final answer
    x = 699.27

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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.