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Finding the Fourth Proportional to 1,206.98, 1,809.09 and 512.63

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Solution

The fourth proportional to 1,206.98, 1,809.09 and 512.63 is: 768.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.98 : 1,809.09 = 512.63 : x
  2. Step 2: Convert to fraction form
    1,206.98/1,809.09 = 512.63/x
  3. Step 3: Cross multiply
    1,206.98x = 1,809.09 × 512.63
  4. Step 4: Simplify right side
    1,206.98x = 927,393.81
  5. Step 5: Solve for x
    x = 927,393.81/1,206.98
  6. Step 6: Final answer
    x = 768.36

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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.