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Finding the Fourth Proportional to 1,188.42, 1,782.68 and 408.46

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Solution

The fourth proportional to 1,188.42, 1,782.68 and 408.46 is: 612.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.42 : 1,782.68 = 408.46 : x
  2. Step 2: Convert to fraction form
    1,188.42/1,782.68 = 408.46/x
  3. Step 3: Cross multiply
    1,188.42x = 1,782.68 × 408.46
  4. Step 4: Simplify right side
    1,188.42x = 728,153.47
  5. Step 5: Solve for x
    x = 728,153.47/1,188.42
  6. Step 6: Final answer
    x = 612.71

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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.