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Finding the Fourth Proportional to 1,201.13, 1,657.87 and 759.27

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Solution

The fourth proportional to 1,201.13, 1,657.87 and 759.27 is: 1,047.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.13 : 1,657.87 = 759.27 : x
  2. Step 2: Convert to fraction form
    1,201.13/1,657.87 = 759.27/x
  3. Step 3: Cross multiply
    1,201.13x = 1,657.87 × 759.27
  4. Step 4: Simplify right side
    1,201.13x = 1,258,775.27
  5. Step 5: Solve for x
    x = 1,258,775.27/1,201.13
  6. Step 6: Final answer
    x = 1,047.99

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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.