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Finding the Fourth Proportional to 1,189.81, 1,784.07 and 367.86

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Solution

The fourth proportional to 1,189.81, 1,784.07 and 367.86 is: 551.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.81 : 1,784.07 = 367.86 : x
  2. Step 2: Convert to fraction form
    1,189.81/1,784.07 = 367.86/x
  3. Step 3: Cross multiply
    1,189.81x = 1,784.07 × 367.86
  4. Step 4: Simplify right side
    1,189.81x = 656,287.99
  5. Step 5: Solve for x
    x = 656,287.99/1,189.81
  6. Step 6: Final answer
    x = 551.59

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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.