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Finding the Fourth Proportional to 879.58, 1,214.06 and 506.60

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Solution

The fourth proportional to 879.58, 1,214.06 and 506.60 is: 699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.58 : 1,214.06 = 506.60 : x
  2. Step 2: Convert to fraction form
    879.58/1,214.06 = 506.60/x
  3. Step 3: Cross multiply
    879.58x = 1,214.06 × 506.60
  4. Step 4: Simplify right side
    879.58x = 615,042.80
  5. Step 5: Solve for x
    x = 615,042.80/879.58
  6. Step 6: Final answer
    x = 699.25

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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.