Home / 1,282.46-1,923.83-460.80

Finding the Fourth Proportional to 1,282.46, 1,923.83 and 460.80

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Solution

The fourth proportional to 1,282.46, 1,923.83 and 460.80 is: 691.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.46 : 1,923.83 = 460.80 : x
  2. Step 2: Convert to fraction form
    1,282.46/1,923.83 = 460.80/x
  3. Step 3: Cross multiply
    1,282.46x = 1,923.83 × 460.80
  4. Step 4: Simplify right side
    1,282.46x = 886,498.56
  5. Step 5: Solve for x
    x = 886,498.56/1,282.46
  6. Step 6: Final answer
    x = 691.25

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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.