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Finding the Fourth Proportional to 1,266.36, 1,899.99 and 617.46

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Solution

The fourth proportional to 1,266.36, 1,899.99 and 617.46 is: 926.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.36 : 1,899.99 = 617.46 : x
  2. Step 2: Convert to fraction form
    1,266.36/1,899.99 = 617.46/x
  3. Step 3: Cross multiply
    1,266.36x = 1,899.99 × 617.46
  4. Step 4: Simplify right side
    1,266.36x = 1,173,167.83
  5. Step 5: Solve for x
    x = 1,173,167.83/1,266.36
  6. Step 6: Final answer
    x = 926.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.