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Finding the Fourth Proportional to 851.49, 1,276.83 and 412.97

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Solution

The fourth proportional to 851.49, 1,276.83 and 412.97 is: 619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.49 : 1,276.83 = 412.97 : x
  2. Step 2: Convert to fraction form
    851.49/1,276.83 = 412.97/x
  3. Step 3: Cross multiply
    851.49x = 1,276.83 × 412.97
  4. Step 4: Simplify right side
    851.49x = 527,286.10
  5. Step 5: Solve for x
    x = 527,286.10/851.49
  6. Step 6: Final answer
    x = 619.25

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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.