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Finding the Fourth Proportional to 789.77, 1,184.66 and 241.97

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Solution

The fourth proportional to 789.77, 1,184.66 and 241.97 is: 362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.77 : 1,184.66 = 241.97 : x
  2. Step 2: Convert to fraction form
    789.77/1,184.66 = 241.97/x
  3. Step 3: Cross multiply
    789.77x = 1,184.66 × 241.97
  4. Step 4: Simplify right side
    789.77x = 286,645.95
  5. Step 5: Solve for x
    x = 286,645.95/789.77
  6. Step 6: Final answer
    x = 362.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.