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Finding the Fourth Proportional to 693.09, 1,039.62 and 327.69

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Solution

The fourth proportional to 693.09, 1,039.62 and 327.69 is: 491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.09 : 1,039.62 = 327.69 : x
  2. Step 2: Convert to fraction form
    693.09/1,039.62 = 327.69/x
  3. Step 3: Cross multiply
    693.09x = 1,039.62 × 327.69
  4. Step 4: Simplify right side
    693.09x = 340,673.08
  5. Step 5: Solve for x
    x = 340,673.08/693.09
  6. Step 6: Final answer
    x = 491.53

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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.