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Finding the Fourth Proportional to 1,188.99, 1,783.59 and 408.86

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Solution

The fourth proportional to 1,188.99, 1,783.59 and 408.86 is: 613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.99 : 1,783.59 = 408.86 : x
  2. Step 2: Convert to fraction form
    1,188.99/1,783.59 = 408.86/x
  3. Step 3: Cross multiply
    1,188.99x = 1,783.59 × 408.86
  4. Step 4: Simplify right side
    1,188.99x = 729,234.84
  5. Step 5: Solve for x
    x = 729,234.84/1,188.99
  6. Step 6: Final answer
    x = 613.32

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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.