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Finding the Fourth Proportional to 726.75, 1,090.13 and 294.21

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Solution

The fourth proportional to 726.75, 1,090.13 and 294.21 is: 441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.75 : 1,090.13 = 294.21 : x
  2. Step 2: Convert to fraction form
    726.75/1,090.13 = 294.21/x
  3. Step 3: Cross multiply
    726.75x = 1,090.13 × 294.21
  4. Step 4: Simplify right side
    726.75x = 320,725.68
  5. Step 5: Solve for x
    x = 320,725.68/726.75
  6. Step 6: Final answer
    x = 441.32

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