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Finding the Fourth Proportional to 1,194.72, 1,649.46 and 769.53

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Solution

The fourth proportional to 1,194.72, 1,649.46 and 769.53 is: 1,062.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.72 : 1,649.46 = 769.53 : x
  2. Step 2: Convert to fraction form
    1,194.72/1,649.46 = 769.53/x
  3. Step 3: Cross multiply
    1,194.72x = 1,649.46 × 769.53
  4. Step 4: Simplify right side
    1,194.72x = 1,269,318.03
  5. Step 5: Solve for x
    x = 1,269,318.03/1,194.72
  6. Step 6: Final answer
    x = 1,062.44

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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.