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Finding the Fourth Proportional to 791.81, 1,187.42 and 271.67

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Solution

The fourth proportional to 791.81, 1,187.42 and 271.67 is: 407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.81 : 1,187.42 = 271.67 : x
  2. Step 2: Convert to fraction form
    791.81/1,187.42 = 271.67/x
  3. Step 3: Cross multiply
    791.81x = 1,187.42 × 271.67
  4. Step 4: Simplify right side
    791.81x = 322,580.45
  5. Step 5: Solve for x
    x = 322,580.45/791.81
  6. Step 6: Final answer
    x = 407.40

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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.