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Finding the Fourth Proportional to 671.87, 1,007.93 and 209.54

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Solution

The fourth proportional to 671.87, 1,007.93 and 209.54 is: 314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.87 : 1,007.93 = 209.54 : x
  2. Step 2: Convert to fraction form
    671.87/1,007.93 = 209.54/x
  3. Step 3: Cross multiply
    671.87x = 1,007.93 × 209.54
  4. Step 4: Simplify right side
    671.87x = 211,204.70
  5. Step 5: Solve for x
    x = 211,204.70/671.87
  6. Step 6: Final answer
    x = 314.35

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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.