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Finding the Fourth Proportional to 851.08, 1,277.10 and 418.36

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Solution

The fourth proportional to 851.08, 1,277.10 and 418.36 is: 627.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.08 : 1,277.10 = 418.36 : x
  2. Step 2: Convert to fraction form
    851.08/1,277.10 = 418.36/x
  3. Step 3: Cross multiply
    851.08x = 1,277.10 × 418.36
  4. Step 4: Simplify right side
    851.08x = 534,287.56
  5. Step 5: Solve for x
    x = 534,287.56/851.08
  6. Step 6: Final answer
    x = 627.78

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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.