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Finding the Fourth Proportional to 847.97, 1,271.98 and 231.67

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Solution

The fourth proportional to 847.97, 1,271.98 and 231.67 is: 347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.97 : 1,271.98 = 231.67 : x
  2. Step 2: Convert to fraction form
    847.97/1,271.98 = 231.67/x
  3. Step 3: Cross multiply
    847.97x = 1,271.98 × 231.67
  4. Step 4: Simplify right side
    847.97x = 294,675.31
  5. Step 5: Solve for x
    x = 294,675.31/847.97
  6. Step 6: Final answer
    x = 347.51

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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.