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Finding the Fourth Proportional to 1,645.21, 2,466.60 and 604.67

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Solution

The fourth proportional to 1,645.21, 2,466.60 and 604.67 is: 906.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.21 : 2,466.60 = 604.67 : x
  2. Step 2: Convert to fraction form
    1,645.21/2,466.60 = 604.67/x
  3. Step 3: Cross multiply
    1,645.21x = 2,466.60 × 604.67
  4. Step 4: Simplify right side
    1,645.21x = 1,491,479.02
  5. Step 5: Solve for x
    x = 1,491,479.02/1,645.21
  6. Step 6: Final answer
    x = 906.56

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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.