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Finding the Fourth Proportional to 789.82, 1,184.77 and 242.00

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Solution

The fourth proportional to 789.82, 1,184.77 and 242.00 is: 363.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.82 : 1,184.77 = 242.00 : x
  2. Step 2: Convert to fraction form
    789.82/1,184.77 = 242.00/x
  3. Step 3: Cross multiply
    789.82x = 1,184.77 × 242.00
  4. Step 4: Simplify right side
    789.82x = 286,719.83
  5. Step 5: Solve for x
    x = 286,719.83/789.82
  6. Step 6: Final answer
    x = 363.02

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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.