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Finding the Fourth Proportional to 789.81, 1,184.44 and 242

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Solution

The fourth proportional to 789.81, 1,184.44 and 242 is: 362.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.81 : 1,184.44 = 242 : x
  2. Step 2: Convert to fraction form
    789.81/1,184.44 = 242/x
  3. Step 3: Cross multiply
    789.81x = 1,184.44 × 242
  4. Step 4: Simplify right side
    789.81x = 286,634.48
  5. Step 5: Solve for x
    x = 286,634.48/789.81
  6. Step 6: Final answer
    x = 362.92

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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.