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Finding the Fourth Proportional to 1,266.24, 1,899.62 and 617.34

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Solution

The fourth proportional to 1,266.24, 1,899.62 and 617.34 is: 926.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.24 : 1,899.62 = 617.34 : x
  2. Step 2: Convert to fraction form
    1,266.24/1,899.62 = 617.34/x
  3. Step 3: Cross multiply
    1,266.24x = 1,899.62 × 617.34
  4. Step 4: Simplify right side
    1,266.24x = 1,172,711.41
  5. Step 5: Solve for x
    x = 1,172,711.41/1,266.24
  6. Step 6: Final answer
    x = 926.14

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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.