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Finding the Fourth Proportional to 1,261.65, 1,892.01 and 481.44

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Solution

The fourth proportional to 1,261.65, 1,892.01 and 481.44 is: 721.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.65 : 1,892.01 = 481.44 : x
  2. Step 2: Convert to fraction form
    1,261.65/1,892.01 = 481.44/x
  3. Step 3: Cross multiply
    1,261.65x = 1,892.01 × 481.44
  4. Step 4: Simplify right side
    1,261.65x = 910,889.29
  5. Step 5: Solve for x
    x = 910,889.29/1,261.65
  6. Step 6: Final answer
    x = 721.98

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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.