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Finding the Fourth Proportional to 1,224.42, 1,690.08 and 727.22

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Solution

The fourth proportional to 1,224.42, 1,690.08 and 727.22 is: 1,003.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.42 : 1,690.08 = 727.22 : x
  2. Step 2: Convert to fraction form
    1,224.42/1,690.08 = 727.22/x
  3. Step 3: Cross multiply
    1,224.42x = 1,690.08 × 727.22
  4. Step 4: Simplify right side
    1,224.42x = 1,229,059.98
  5. Step 5: Solve for x
    x = 1,229,059.98/1,224.42
  6. Step 6: Final answer
    x = 1,003.79

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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.