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Finding the Fourth Proportional to 862.28, 1,293.55 and 445.69

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Solution

The fourth proportional to 862.28, 1,293.55 and 445.69 is: 668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.28 : 1,293.55 = 445.69 : x
  2. Step 2: Convert to fraction form
    862.28/1,293.55 = 445.69/x
  3. Step 3: Cross multiply
    862.28x = 1,293.55 × 445.69
  4. Step 4: Simplify right side
    862.28x = 576,520.22
  5. Step 5: Solve for x
    x = 576,520.22/862.28
  6. Step 6: Final answer
    x = 668.60

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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.