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Finding the Fourth Proportional to 1,188.86, 1,783.49 and 408.94

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Solution

The fourth proportional to 1,188.86, 1,783.49 and 408.94 is: 613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.86 : 1,783.49 = 408.94 : x
  2. Step 2: Convert to fraction form
    1,188.86/1,783.49 = 408.94/x
  3. Step 3: Cross multiply
    1,188.86x = 1,783.49 × 408.94
  4. Step 4: Simplify right side
    1,188.86x = 729,341.08
  5. Step 5: Solve for x
    x = 729,341.08/1,188.86
  6. Step 6: Final answer
    x = 613.48

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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.