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Finding the Fourth Proportional to 1,304.82, 1,954.92 and 687.06

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Solution

The fourth proportional to 1,304.82, 1,954.92 and 687.06 is: 1,029.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.82 : 1,954.92 = 687.06 : x
  2. Step 2: Convert to fraction form
    1,304.82/1,954.92 = 687.06/x
  3. Step 3: Cross multiply
    1,304.82x = 1,954.92 × 687.06
  4. Step 4: Simplify right side
    1,304.82x = 1,343,147.34
  5. Step 5: Solve for x
    x = 1,343,147.34/1,304.82
  6. Step 6: Final answer
    x = 1,029.37

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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.