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Finding the Fourth Proportional to 1,205.82, 1,809 and 657.72

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Solution

The fourth proportional to 1,205.82, 1,809 and 657.72 is: 986.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.82 : 1,809 = 657.72 : x
  2. Step 2: Convert to fraction form
    1,205.82/1,809 = 657.72/x
  3. Step 3: Cross multiply
    1,205.82x = 1,809 × 657.72
  4. Step 4: Simplify right side
    1,205.82x = 1,189,815.48
  5. Step 5: Solve for x
    x = 1,189,815.48/1,205.82
  6. Step 6: Final answer
    x = 986.73

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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.