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Finding the Fourth Proportional to 1,205.88, 1,809.45 and 512.34

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Solution

The fourth proportional to 1,205.88, 1,809.45 and 512.34 is: 768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.88 : 1,809.45 = 512.34 : x
  2. Step 2: Convert to fraction form
    1,205.88/1,809.45 = 512.34/x
  3. Step 3: Cross multiply
    1,205.88x = 1,809.45 × 512.34
  4. Step 4: Simplify right side
    1,205.88x = 927,053.61
  5. Step 5: Solve for x
    x = 927,053.61/1,205.88
  6. Step 6: Final answer
    x = 768.78

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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.