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Finding the Fourth Proportional to 1,231.49, 1,699.30 and 789.99

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Solution

The fourth proportional to 1,231.49, 1,699.30 and 789.99 is: 1,090.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.49 : 1,699.30 = 789.99 : x
  2. Step 2: Convert to fraction form
    1,231.49/1,699.30 = 789.99/x
  3. Step 3: Cross multiply
    1,231.49x = 1,699.30 × 789.99
  4. Step 4: Simplify right side
    1,231.49x = 1,342,429.74
  5. Step 5: Solve for x
    x = 1,342,429.74/1,231.49
  6. Step 6: Final answer
    x = 1,090.08

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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.