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Finding the Fourth Proportional to 1,189.25, 1,782.56 and 495.56

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Solution

The fourth proportional to 1,189.25, 1,782.56 and 495.56 is: 742.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.25 : 1,782.56 = 495.56 : x
  2. Step 2: Convert to fraction form
    1,189.25/1,782.56 = 495.56/x
  3. Step 3: Cross multiply
    1,189.25x = 1,782.56 × 495.56
  4. Step 4: Simplify right side
    1,189.25x = 883,354.04
  5. Step 5: Solve for x
    x = 883,354.04/1,189.25
  6. Step 6: Final answer
    x = 742.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.