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Finding the Fourth Proportional to 1,029.70, 1,544.28 and 481.60

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Solution

The fourth proportional to 1,029.70, 1,544.28 and 481.60 is: 722.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.70 : 1,544.28 = 481.60 : x
  2. Step 2: Convert to fraction form
    1,029.70/1,544.28 = 481.60/x
  3. Step 3: Cross multiply
    1,029.70x = 1,544.28 × 481.60
  4. Step 4: Simplify right side
    1,029.70x = 743,725.25
  5. Step 5: Solve for x
    x = 743,725.25/1,029.70
  6. Step 6: Final answer
    x = 722.27

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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.