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Finding the Fourth Proportional to 693.14, 1,039.72 and 206.21

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Solution

The fourth proportional to 693.14, 1,039.72 and 206.21 is: 309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.14 : 1,039.72 = 206.21 : x
  2. Step 2: Convert to fraction form
    693.14/1,039.72 = 206.21/x
  3. Step 3: Cross multiply
    693.14x = 1,039.72 × 206.21
  4. Step 4: Simplify right side
    693.14x = 214,400.66
  5. Step 5: Solve for x
    x = 214,400.66/693.14
  6. Step 6: Final answer
    x = 309.32

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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.