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Finding the Fourth Proportional to 1,334.03, 1,998.44 and 812.73

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Solution

The fourth proportional to 1,334.03, 1,998.44 and 812.73 is: 1,217.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.03 : 1,998.44 = 812.73 : x
  2. Step 2: Convert to fraction form
    1,334.03/1,998.44 = 812.73/x
  3. Step 3: Cross multiply
    1,334.03x = 1,998.44 × 812.73
  4. Step 4: Simplify right side
    1,334.03x = 1,624,199.76
  5. Step 5: Solve for x
    x = 1,624,199.76/1,334.03
  6. Step 6: Final answer
    x = 1,217.52

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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.