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Finding the Fourth Proportional to 1,206.17, 1,809.49 and 512.83

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Solution

The fourth proportional to 1,206.17, 1,809.49 and 512.83 is: 769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.17 : 1,809.49 = 512.83 : x
  2. Step 2: Convert to fraction form
    1,206.17/1,809.49 = 512.83/x
  3. Step 3: Cross multiply
    1,206.17x = 1,809.49 × 512.83
  4. Step 4: Simplify right side
    1,206.17x = 927,954.95
  5. Step 5: Solve for x
    x = 927,954.95/1,206.17
  6. Step 6: Final answer
    x = 769.34

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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.