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Finding the Fourth Proportional to 727.46, 1,090.56 and 294.34

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Solution

The fourth proportional to 727.46, 1,090.56 and 294.34 is: 441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.46 : 1,090.56 = 294.34 : x
  2. Step 2: Convert to fraction form
    727.46/1,090.56 = 294.34/x
  3. Step 3: Cross multiply
    727.46x = 1,090.56 × 294.34
  4. Step 4: Simplify right side
    727.46x = 320,989.98
  5. Step 5: Solve for x
    x = 320,989.98/727.46
  6. Step 6: Final answer
    x = 441.25

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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.