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Finding the Fourth Proportional to 1,266.91, 1,899.45 and 650.09

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Solution

The fourth proportional to 1,266.91, 1,899.45 and 650.09 is: 974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.91 : 1,899.45 = 650.09 : x
  2. Step 2: Convert to fraction form
    1,266.91/1,899.45 = 650.09/x
  3. Step 3: Cross multiply
    1,266.91x = 1,899.45 × 650.09
  4. Step 4: Simplify right side
    1,266.91x = 1,234,818.20
  5. Step 5: Solve for x
    x = 1,234,818.20/1,266.91
  6. Step 6: Final answer
    x = 974.67

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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.