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Finding the Fourth Proportional to 1,189.10, 1,640.44 and 746.30

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Solution

The fourth proportional to 1,189.10, 1,640.44 and 746.30 is: 1,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.10 : 1,640.44 = 746.30 : x
  2. Step 2: Convert to fraction form
    1,189.10/1,640.44 = 746.30/x
  3. Step 3: Cross multiply
    1,189.10x = 1,640.44 × 746.30
  4. Step 4: Simplify right side
    1,189.10x = 1,224,260.37
  5. Step 5: Solve for x
    x = 1,224,260.37/1,189.10
  6. Step 6: Final answer
    x = 1,029.57

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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.