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Finding the Fourth Proportional to 856.44, 1,284.22 and 445.18

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Solution

The fourth proportional to 856.44, 1,284.22 and 445.18 is: 667.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.44 : 1,284.22 = 445.18 : x
  2. Step 2: Convert to fraction form
    856.44/1,284.22 = 445.18/x
  3. Step 3: Cross multiply
    856.44x = 1,284.22 × 445.18
  4. Step 4: Simplify right side
    856.44x = 571,709.06
  5. Step 5: Solve for x
    x = 571,709.06/856.44
  6. Step 6: Final answer
    x = 667.54

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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.