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Finding the Fourth Proportional to 847.86, 1,271.22 and 408.87

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Solution

The fourth proportional to 847.86, 1,271.22 and 408.87 is: 613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.86 : 1,271.22 = 408.87 : x
  2. Step 2: Convert to fraction form
    847.86/1,271.22 = 408.87/x
  3. Step 3: Cross multiply
    847.86x = 1,271.22 × 408.87
  4. Step 4: Simplify right side
    847.86x = 519,763.72
  5. Step 5: Solve for x
    x = 519,763.72/847.86
  6. Step 6: Final answer
    x = 613.03

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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.