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Finding the Fourth Proportional to 1,205.58, 1,659.82 and 939.70

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Solution

The fourth proportional to 1,205.58, 1,659.82 and 939.70 is: 1,293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.58 : 1,659.82 = 939.70 : x
  2. Step 2: Convert to fraction form
    1,205.58/1,659.82 = 939.70/x
  3. Step 3: Cross multiply
    1,205.58x = 1,659.82 × 939.70
  4. Step 4: Simplify right side
    1,205.58x = 1,559,732.85
  5. Step 5: Solve for x
    x = 1,559,732.85/1,205.58
  6. Step 6: Final answer
    x = 1,293.76

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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.