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Finding the Fourth Proportional to 1,219.73, 1,683.26 and 722.19

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Solution

The fourth proportional to 1,219.73, 1,683.26 and 722.19 is: 996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.73 : 1,683.26 = 722.19 : x
  2. Step 2: Convert to fraction form
    1,219.73/1,683.26 = 722.19/x
  3. Step 3: Cross multiply
    1,219.73x = 1,683.26 × 722.19
  4. Step 4: Simplify right side
    1,219.73x = 1,215,635.34
  5. Step 5: Solve for x
    x = 1,215,635.34/1,219.73
  6. Step 6: Final answer
    x = 996.64

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Why These Related Problems?

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