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Finding the Fourth Proportional to 1,266.44, 1,899.58 and 608.80

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Solution

The fourth proportional to 1,266.44, 1,899.58 and 608.80 is: 913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.44 : 1,899.58 = 608.80 : x
  2. Step 2: Convert to fraction form
    1,266.44/1,899.58 = 608.80/x
  3. Step 3: Cross multiply
    1,266.44x = 1,899.58 × 608.80
  4. Step 4: Simplify right side
    1,266.44x = 1,156,464.30
  5. Step 5: Solve for x
    x = 1,156,464.30/1,266.44
  6. Step 6: Final answer
    x = 913.16

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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.