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Finding the Fourth Proportional to 847.50, 1,271.34 and 299.56

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Solution

The fourth proportional to 847.50, 1,271.34 and 299.56 is: 449.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.50 : 1,271.34 = 299.56 : x
  2. Step 2: Convert to fraction form
    847.50/1,271.34 = 299.56/x
  3. Step 3: Cross multiply
    847.50x = 1,271.34 × 299.56
  4. Step 4: Simplify right side
    847.50x = 380,842.61
  5. Step 5: Solve for x
    x = 380,842.61/847.50
  6. Step 6: Final answer
    x = 449.37

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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.