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Finding the Fourth Proportional to 1,687.39, 2,529.03 and 762.70

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Solution

The fourth proportional to 1,687.39, 2,529.03 and 762.70 is: 1,143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.39 : 2,529.03 = 762.70 : x
  2. Step 2: Convert to fraction form
    1,687.39/2,529.03 = 762.70/x
  3. Step 3: Cross multiply
    1,687.39x = 2,529.03 × 762.70
  4. Step 4: Simplify right side
    1,687.39x = 1,928,891.18
  5. Step 5: Solve for x
    x = 1,928,891.18/1,687.39
  6. Step 6: Final answer
    x = 1,143.12

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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.