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Finding the Fourth Proportional to 789.86, 1,184.88 and 242.12

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Solution

The fourth proportional to 789.86, 1,184.88 and 242.12 is: 363.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.86 : 1,184.88 = 242.12 : x
  2. Step 2: Convert to fraction form
    789.86/1,184.88 = 242.12/x
  3. Step 3: Cross multiply
    789.86x = 1,184.88 × 242.12
  4. Step 4: Simplify right side
    789.86x = 286,883.15
  5. Step 5: Solve for x
    x = 286,883.15/789.86
  6. Step 6: Final answer
    x = 363.21

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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.