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Finding the Fourth Proportional to 1,686.75, 2,529.37 and 762.27

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Solution

The fourth proportional to 1,686.75, 2,529.37 and 762.27 is: 1,143.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.75 : 2,529.37 = 762.27 : x
  2. Step 2: Convert to fraction form
    1,686.75/2,529.37 = 762.27/x
  3. Step 3: Cross multiply
    1,686.75x = 2,529.37 × 762.27
  4. Step 4: Simplify right side
    1,686.75x = 1,928,062.87
  5. Step 5: Solve for x
    x = 1,928,062.87/1,686.75
  6. Step 6: Final answer
    x = 1,143.06

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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.