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Finding the Fourth Proportional to 847.35, 1,271.25 and 299.61

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Solution

The fourth proportional to 847.35, 1,271.25 and 299.61 is: 449.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.35 : 1,271.25 = 299.61 : x
  2. Step 2: Convert to fraction form
    847.35/1,271.25 = 299.61/x
  3. Step 3: Cross multiply
    847.35x = 1,271.25 × 299.61
  4. Step 4: Simplify right side
    847.35x = 380,879.21
  5. Step 5: Solve for x
    x = 380,879.21/847.35
  6. Step 6: Final answer
    x = 449.49

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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.