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Finding the Fourth Proportional to 1,230.80, 1,844.98 and 791.98

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Solution

The fourth proportional to 1,230.80, 1,844.98 and 791.98 is: 1,187.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.80 : 1,844.98 = 791.98 : x
  2. Step 2: Convert to fraction form
    1,230.80/1,844.98 = 791.98/x
  3. Step 3: Cross multiply
    1,230.80x = 1,844.98 × 791.98
  4. Step 4: Simplify right side
    1,230.80x = 1,461,180.67
  5. Step 5: Solve for x
    x = 1,461,180.67/1,230.80
  6. Step 6: Final answer
    x = 1,187.18

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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.