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Finding the Fourth Proportional to 1,671.70, 2,505.42 and 794.20

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Solution

The fourth proportional to 1,671.70, 2,505.42 and 794.20 is: 1,190.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.70 : 2,505.42 = 794.20 : x
  2. Step 2: Convert to fraction form
    1,671.70/2,505.42 = 794.20/x
  3. Step 3: Cross multiply
    1,671.70x = 2,505.42 × 794.20
  4. Step 4: Simplify right side
    1,671.70x = 1,989,804.56
  5. Step 5: Solve for x
    x = 1,989,804.56/1,671.70
  6. Step 6: Final answer
    x = 1,190.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.