Home / 1,293.20-1,939.80-523.70

Finding the Fourth Proportional to 1,293.20, 1,939.80 and 523.70

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Solution

The fourth proportional to 1,293.20, 1,939.80 and 523.70 is: 785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.20 : 1,939.80 = 523.70 : x
  2. Step 2: Convert to fraction form
    1,293.20/1,939.80 = 523.70/x
  3. Step 3: Cross multiply
    1,293.20x = 1,939.80 × 523.70
  4. Step 4: Simplify right side
    1,293.20x = 1,015,863.56
  5. Step 5: Solve for x
    x = 1,015,863.56/1,293.20
  6. Step 6: Final answer
    x = 785.55

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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.