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Finding the Fourth Proportional to 1,189.09, 1,784.09 and 495.57

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Solution

The fourth proportional to 1,189.09, 1,784.09 and 495.57 is: 743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.09 : 1,784.09 = 495.57 : x
  2. Step 2: Convert to fraction form
    1,189.09/1,784.09 = 495.57/x
  3. Step 3: Cross multiply
    1,189.09x = 1,784.09 × 495.57
  4. Step 4: Simplify right side
    1,189.09x = 884,141.48
  5. Step 5: Solve for x
    x = 884,141.48/1,189.09
  6. Step 6: Final answer
    x = 743.54

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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.