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Finding the Fourth Proportional to 1,220.76, 1,683.90 and 871.56

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Solution

The fourth proportional to 1,220.76, 1,683.90 and 871.56 is: 1,202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.76 : 1,683.90 = 871.56 : x
  2. Step 2: Convert to fraction form
    1,220.76/1,683.90 = 871.56/x
  3. Step 3: Cross multiply
    1,220.76x = 1,683.90 × 871.56
  4. Step 4: Simplify right side
    1,220.76x = 1,467,619.88
  5. Step 5: Solve for x
    x = 1,467,619.88/1,220.76
  6. Step 6: Final answer
    x = 1,202.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.