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Finding the Fourth Proportional to 693.04, 1,039.32 and 206.08

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Solution

The fourth proportional to 693.04, 1,039.32 and 206.08 is: 309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.04 : 1,039.32 = 206.08 : x
  2. Step 2: Convert to fraction form
    693.04/1,039.32 = 206.08/x
  3. Step 3: Cross multiply
    693.04x = 1,039.32 × 206.08
  4. Step 4: Simplify right side
    693.04x = 214,183.07
  5. Step 5: Solve for x
    x = 214,183.07/693.04
  6. Step 6: Final answer
    x = 309.05

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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.