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Finding the Fourth Proportional to 1,268.14, 1,899.17 and 746.90

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Solution

The fourth proportional to 1,268.14, 1,899.17 and 746.90 is: 1,118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.14 : 1,899.17 = 746.90 : x
  2. Step 2: Convert to fraction form
    1,268.14/1,899.17 = 746.90/x
  3. Step 3: Cross multiply
    1,268.14x = 1,899.17 × 746.90
  4. Step 4: Simplify right side
    1,268.14x = 1,418,491.09
  5. Step 5: Solve for x
    x = 1,418,491.09/1,268.14
  6. Step 6: Final answer
    x = 1,118.56

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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.