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Finding the Fourth Proportional to 1,189.99, 1,784.13 and 449.49

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Solution

The fourth proportional to 1,189.99, 1,784.13 and 449.49 is: 673.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.99 : 1,784.13 = 449.49 : x
  2. Step 2: Convert to fraction form
    1,189.99/1,784.13 = 449.49/x
  3. Step 3: Cross multiply
    1,189.99x = 1,784.13 × 449.49
  4. Step 4: Simplify right side
    1,189.99x = 801,939.67
  5. Step 5: Solve for x
    x = 801,939.67/1,189.99
  6. Step 6: Final answer
    x = 673.90

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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.