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Finding the Fourth Proportional to 1,301.88, 1,954.20 and 685.80

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Solution

The fourth proportional to 1,301.88, 1,954.20 and 685.80 is: 1,029.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.88 : 1,954.20 = 685.80 : x
  2. Step 2: Convert to fraction form
    1,301.88/1,954.20 = 685.80/x
  3. Step 3: Cross multiply
    1,301.88x = 1,954.20 × 685.80
  4. Step 4: Simplify right side
    1,301.88x = 1,340,190.36
  5. Step 5: Solve for x
    x = 1,340,190.36/1,301.88
  6. Step 6: Final answer
    x = 1,029.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.