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Finding the Fourth Proportional to 1,205.97, 1,809.50 and 657.33

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Solution

The fourth proportional to 1,205.97, 1,809.50 and 657.33 is: 986.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.97 : 1,809.50 = 657.33 : x
  2. Step 2: Convert to fraction form
    1,205.97/1,809.50 = 657.33/x
  3. Step 3: Cross multiply
    1,205.97x = 1,809.50 × 657.33
  4. Step 4: Simplify right side
    1,205.97x = 1,189,435.35
  5. Step 5: Solve for x
    x = 1,189,435.35/1,205.97
  6. Step 6: Final answer
    x = 986.29

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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.