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Finding the Fourth Proportional to 1,231.61, 1,699.27 and 759.59

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Solution

The fourth proportional to 1,231.61, 1,699.27 and 759.59 is: 1,048.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.61 : 1,699.27 = 759.59 : x
  2. Step 2: Convert to fraction form
    1,231.61/1,699.27 = 759.59/x
  3. Step 3: Cross multiply
    1,231.61x = 1,699.27 × 759.59
  4. Step 4: Simplify right side
    1,231.61x = 1,290,738.10
  5. Step 5: Solve for x
    x = 1,290,738.10/1,231.61
  6. Step 6: Final answer
    x = 1,048.01

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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.