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Finding the Fourth Proportional to 1,328.27, 1,992.60 and 894.50

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Solution

The fourth proportional to 1,328.27, 1,992.60 and 894.50 is: 1,341.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.27 : 1,992.60 = 894.50 : x
  2. Step 2: Convert to fraction form
    1,328.27/1,992.60 = 894.50/x
  3. Step 3: Cross multiply
    1,328.27x = 1,992.60 × 894.50
  4. Step 4: Simplify right side
    1,328.27x = 1,782,380.70
  5. Step 5: Solve for x
    x = 1,782,380.70/1,328.27
  6. Step 6: Final answer
    x = 1,341.88

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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.