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Finding the Fourth Proportional to 1,206.09, 1,808.67 and 513.08

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Solution

The fourth proportional to 1,206.09, 1,808.67 and 513.08 is: 769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.09 : 1,808.67 = 513.08 : x
  2. Step 2: Convert to fraction form
    1,206.09/1,808.67 = 513.08/x
  3. Step 3: Cross multiply
    1,206.09x = 1,808.67 × 513.08
  4. Step 4: Simplify right side
    1,206.09x = 928,000.80
  5. Step 5: Solve for x
    x = 928,000.80/1,206.09
  6. Step 6: Final answer
    x = 769.43

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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.