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Finding the Fourth Proportional to 671.67, 1,007.51 and 209.48

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Solution

The fourth proportional to 671.67, 1,007.51 and 209.48 is: 314.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.67 : 1,007.51 = 209.48 : x
  2. Step 2: Convert to fraction form
    671.67/1,007.51 = 209.48/x
  3. Step 3: Cross multiply
    671.67x = 1,007.51 × 209.48
  4. Step 4: Simplify right side
    671.67x = 211,051.67
  5. Step 5: Solve for x
    x = 211,051.67/671.67
  6. Step 6: Final answer
    x = 314.22

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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.