Home / 1,504.14-2,257.20-774.24

Finding the Fourth Proportional to 1,504.14, 2,257.20 and 774.24

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Solution

The fourth proportional to 1,504.14, 2,257.20 and 774.24 is: 1,161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.14 : 2,257.20 = 774.24 : x
  2. Step 2: Convert to fraction form
    1,504.14/2,257.20 = 774.24/x
  3. Step 3: Cross multiply
    1,504.14x = 2,257.20 × 774.24
  4. Step 4: Simplify right side
    1,504.14x = 1,747,614.53
  5. Step 5: Solve for x
    x = 1,747,614.53/1,504.14
  6. Step 6: Final answer
    x = 1,161.87

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1.5x scale

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.