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Finding the Fourth Proportional to 1,188.23, 1,782.36 and 408.24

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Solution

The fourth proportional to 1,188.23, 1,782.36 and 408.24 is: 612.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.23 : 1,782.36 = 408.24 : x
  2. Step 2: Convert to fraction form
    1,188.23/1,782.36 = 408.24/x
  3. Step 3: Cross multiply
    1,188.23x = 1,782.36 × 408.24
  4. Step 4: Simplify right side
    1,188.23x = 727,630.65
  5. Step 5: Solve for x
    x = 727,630.65/1,188.23
  6. Step 6: Final answer
    x = 612.37

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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.