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Finding the Fourth Proportional to 789.62, 1,184.34 and 241.80

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Solution

The fourth proportional to 789.62, 1,184.34 and 241.80 is: 362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.62 : 1,184.34 = 241.80 : x
  2. Step 2: Convert to fraction form
    789.62/1,184.34 = 241.80/x
  3. Step 3: Cross multiply
    789.62x = 1,184.34 × 241.80
  4. Step 4: Simplify right side
    789.62x = 286,373.41
  5. Step 5: Solve for x
    x = 286,373.41/789.62
  6. Step 6: Final answer
    x = 362.67

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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.