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Finding the Fourth Proportional to 684.45, 1,027.06 and 294.44

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Solution

The fourth proportional to 684.45, 1,027.06 and 294.44 is: 441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.45 : 1,027.06 = 294.44 : x
  2. Step 2: Convert to fraction form
    684.45/1,027.06 = 294.44/x
  3. Step 3: Cross multiply
    684.45x = 1,027.06 × 294.44
  4. Step 4: Simplify right side
    684.45x = 302,401.68
  5. Step 5: Solve for x
    x = 302,401.68/684.45
  6. Step 6: Final answer
    x = 441.82

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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.