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Finding the Fourth Proportional to 1,481.50, 2,044.47 and 860.50

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Solution

The fourth proportional to 1,481.50, 2,044.47 and 860.50 is: 1,187.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.50 : 2,044.47 = 860.50 : x
  2. Step 2: Convert to fraction form
    1,481.50/2,044.47 = 860.50/x
  3. Step 3: Cross multiply
    1,481.50x = 2,044.47 × 860.50
  4. Step 4: Simplify right side
    1,481.50x = 1,759,266.44
  5. Step 5: Solve for x
    x = 1,759,266.44/1,481.50
  6. Step 6: Final answer
    x = 1,187.49

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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.