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Finding the Fourth Proportional to 671.92, 1,007.61 and 209.59

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Solution

The fourth proportional to 671.92, 1,007.61 and 209.59 is: 314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.92 : 1,007.61 = 209.59 : x
  2. Step 2: Convert to fraction form
    671.92/1,007.61 = 209.59/x
  3. Step 3: Cross multiply
    671.92x = 1,007.61 × 209.59
  4. Step 4: Simplify right side
    671.92x = 211,184.98
  5. Step 5: Solve for x
    x = 211,184.98/671.92
  6. Step 6: Final answer
    x = 314.30

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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.