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Finding the Fourth Proportional to 726.56, 1,090.14 and 293.78

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Solution

The fourth proportional to 726.56, 1,090.14 and 293.78 is: 440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.56 : 1,090.14 = 293.78 : x
  2. Step 2: Convert to fraction form
    726.56/1,090.14 = 293.78/x
  3. Step 3: Cross multiply
    726.56x = 1,090.14 × 293.78
  4. Step 4: Simplify right side
    726.56x = 320,261.33
  5. Step 5: Solve for x
    x = 320,261.33/726.56
  6. Step 6: Final answer
    x = 440.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.