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Finding the Fourth Proportional to 1,206.08, 1,809.98 and 513.23

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Solution

The fourth proportional to 1,206.08, 1,809.98 and 513.23 is: 770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.08 : 1,809.98 = 513.23 : x
  2. Step 2: Convert to fraction form
    1,206.08/1,809.98 = 513.23/x
  3. Step 3: Cross multiply
    1,206.08x = 1,809.98 × 513.23
  4. Step 4: Simplify right side
    1,206.08x = 928,942.74
  5. Step 5: Solve for x
    x = 928,942.74/1,206.08
  6. Step 6: Final answer
    x = 770.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.