Home / 1,013.24-1,519.41-428.50

Finding the Fourth Proportional to 1,013.24, 1,519.41 and 428.50

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Solution

The fourth proportional to 1,013.24, 1,519.41 and 428.50 is: 642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.24 : 1,519.41 = 428.50 : x
  2. Step 2: Convert to fraction form
    1,013.24/1,519.41 = 428.50/x
  3. Step 3: Cross multiply
    1,013.24x = 1,519.41 × 428.50
  4. Step 4: Simplify right side
    1,013.24x = 651,059.59
  5. Step 5: Solve for x
    x = 651,059.59/1,013.24
  6. Step 6: Final answer
    x = 642.56

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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.