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Finding the Fourth Proportional to 671.78, 1,007.80 and 209.56

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Solution

The fourth proportional to 671.78, 1,007.80 and 209.56 is: 314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.78 : 1,007.80 = 209.56 : x
  2. Step 2: Convert to fraction form
    671.78/1,007.80 = 209.56/x
  3. Step 3: Cross multiply
    671.78x = 1,007.80 × 209.56
  4. Step 4: Simplify right side
    671.78x = 211,197.72
  5. Step 5: Solve for x
    x = 211,197.72/671.78
  6. Step 6: Final answer
    x = 314.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.