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Finding the Fourth Proportional to 1,149.36, 1,713.14 and 1,066.26

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Solution

The fourth proportional to 1,149.36, 1,713.14 and 1,066.26 is: 1,589.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.36 : 1,713.14 = 1,066.26 : x
  2. Step 2: Convert to fraction form
    1,149.36/1,713.14 = 1,066.26/x
  3. Step 3: Cross multiply
    1,149.36x = 1,713.14 × 1,066.26
  4. Step 4: Simplify right side
    1,149.36x = 1,826,647.33
  5. Step 5: Solve for x
    x = 1,826,647.33/1,149.36
  6. Step 6: Final answer
    x = 1,589.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.