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Finding the Fourth Proportional to 693.15, 1,039.54 and 206.09

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Solution

The fourth proportional to 693.15, 1,039.54 and 206.09 is: 309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.15 : 1,039.54 = 206.09 : x
  2. Step 2: Convert to fraction form
    693.15/1,039.54 = 206.09/x
  3. Step 3: Cross multiply
    693.15x = 1,039.54 × 206.09
  4. Step 4: Simplify right side
    693.15x = 214,236.20
  5. Step 5: Solve for x
    x = 214,236.20/693.15
  6. Step 6: Final answer
    x = 309.08

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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.