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Finding the Fourth Proportional to 940.44, 1,297.26 and 547.38

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Solution

The fourth proportional to 940.44, 1,297.26 and 547.38 is: 755.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.44 : 1,297.26 = 547.38 : x
  2. Step 2: Convert to fraction form
    940.44/1,297.26 = 547.38/x
  3. Step 3: Cross multiply
    940.44x = 1,297.26 × 547.38
  4. Step 4: Simplify right side
    940.44x = 710,094.18
  5. Step 5: Solve for x
    x = 710,094.18/940.44
  6. Step 6: Final answer
    x = 755.07

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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.