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Finding the Fourth Proportional to 1,659.79, 2,290.58 and 996.94

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Solution

The fourth proportional to 1,659.79, 2,290.58 and 996.94 is: 1,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.79 : 2,290.58 = 996.94 : x
  2. Step 2: Convert to fraction form
    1,659.79/2,290.58 = 996.94/x
  3. Step 3: Cross multiply
    1,659.79x = 2,290.58 × 996.94
  4. Step 4: Simplify right side
    1,659.79x = 2,283,570.83
  5. Step 5: Solve for x
    x = 2,283,570.83/1,659.79
  6. Step 6: Final answer
    x = 1,375.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.