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Finding the Fourth Proportional to 1,201.67, 1,657.67 and 759.41

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Solution

The fourth proportional to 1,201.67, 1,657.67 and 759.41 is: 1,047.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.67 : 1,657.67 = 759.41 : x
  2. Step 2: Convert to fraction form
    1,201.67/1,657.67 = 759.41/x
  3. Step 3: Cross multiply
    1,201.67x = 1,657.67 × 759.41
  4. Step 4: Simplify right side
    1,201.67x = 1,258,839.09
  5. Step 5: Solve for x
    x = 1,258,839.09/1,201.67
  6. Step 6: Final answer
    x = 1,047.58

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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.