Home / 1,264.20-1,895.57-523.39

Finding the Fourth Proportional to 1,264.20, 1,895.57 and 523.39

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Solution

The fourth proportional to 1,264.20, 1,895.57 and 523.39 is: 784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.20 : 1,895.57 = 523.39 : x
  2. Step 2: Convert to fraction form
    1,264.20/1,895.57 = 523.39/x
  3. Step 3: Cross multiply
    1,264.20x = 1,895.57 × 523.39
  4. Step 4: Simplify right side
    1,264.20x = 992,112.90
  5. Step 5: Solve for x
    x = 992,112.90/1,264.20
  6. Step 6: Final answer
    x = 784.78

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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.