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Finding the Fourth Proportional to 847.88, 1,272.12 and 414.92

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Solution

The fourth proportional to 847.88, 1,272.12 and 414.92 is: 622.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.88 : 1,272.12 = 414.92 : x
  2. Step 2: Convert to fraction form
    847.88/1,272.12 = 414.92/x
  3. Step 3: Cross multiply
    847.88x = 1,272.12 × 414.92
  4. Step 4: Simplify right side
    847.88x = 527,828.03
  5. Step 5: Solve for x
    x = 527,828.03/847.88
  6. Step 6: Final answer
    x = 622.53

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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.