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Finding the Fourth Proportional to 1,206.56, 1,808.31 and 512.42

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Solution

The fourth proportional to 1,206.56, 1,808.31 and 512.42 is: 767.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.56 : 1,808.31 = 512.42 : x
  2. Step 2: Convert to fraction form
    1,206.56/1,808.31 = 512.42/x
  3. Step 3: Cross multiply
    1,206.56x = 1,808.31 × 512.42
  4. Step 4: Simplify right side
    1,206.56x = 926,607.09
  5. Step 5: Solve for x
    x = 926,607.09/1,206.56
  6. Step 6: Final answer
    x = 767.97

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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.