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Finding the Fourth Proportional to 1,131.78, 1,561.80 and 666

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Solution

The fourth proportional to 1,131.78, 1,561.80 and 666 is: 919.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.78 : 1,561.80 = 666 : x
  2. Step 2: Convert to fraction form
    1,131.78/1,561.80 = 666/x
  3. Step 3: Cross multiply
    1,131.78x = 1,561.80 × 666
  4. Step 4: Simplify right side
    1,131.78x = 1,040,158.80
  5. Step 5: Solve for x
    x = 1,040,158.80/1,131.78
  6. Step 6: Final answer
    x = 919.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.