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Finding the Fourth Proportional to 671.33, 1,006.95 and 209.06

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Solution

The fourth proportional to 671.33, 1,006.95 and 209.06 is: 313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.33 : 1,006.95 = 209.06 : x
  2. Step 2: Convert to fraction form
    671.33/1,006.95 = 209.06/x
  3. Step 3: Cross multiply
    671.33x = 1,006.95 × 209.06
  4. Step 4: Simplify right side
    671.33x = 210,516.98
  5. Step 5: Solve for x
    x = 210,516.98/671.33
  6. Step 6: Final answer
    x = 313.58

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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.