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Finding the Fourth Proportional to 1,252.42, 1,728.49 and 755.34

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Solution

The fourth proportional to 1,252.42, 1,728.49 and 755.34 is: 1,042.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.42 : 1,728.49 = 755.34 : x
  2. Step 2: Convert to fraction form
    1,252.42/1,728.49 = 755.34/x
  3. Step 3: Cross multiply
    1,252.42x = 1,728.49 × 755.34
  4. Step 4: Simplify right side
    1,252.42x = 1,305,597.64
  5. Step 5: Solve for x
    x = 1,305,597.64/1,252.42
  6. Step 6: Final answer
    x = 1,042.46

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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.