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Finding the Fourth Proportional to 1,169.98, 1,757.38 and 1,131.10

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Solution

The fourth proportional to 1,169.98, 1,757.38 and 1,131.10 is: 1,698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.98 : 1,757.38 = 1,131.10 : x
  2. Step 2: Convert to fraction form
    1,169.98/1,757.38 = 1,131.10/x
  3. Step 3: Cross multiply
    1,169.98x = 1,757.38 × 1,131.10
  4. Step 4: Simplify right side
    1,169.98x = 1,987,772.52
  5. Step 5: Solve for x
    x = 1,987,772.52/1,169.98
  6. Step 6: Final answer
    x = 1,698.98

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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.