Home / 1,352.69-2,029.11-428.28

Finding the Fourth Proportional to 1,352.69, 2,029.11 and 428.28

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Solution

The fourth proportional to 1,352.69, 2,029.11 and 428.28 is: 642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.69 : 2,029.11 = 428.28 : x
  2. Step 2: Convert to fraction form
    1,352.69/2,029.11 = 428.28/x
  3. Step 3: Cross multiply
    1,352.69x = 2,029.11 × 428.28
  4. Step 4: Simplify right side
    1,352.69x = 869,027.23
  5. Step 5: Solve for x
    x = 869,027.23/1,352.69
  6. Step 6: Final answer
    x = 642.44

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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.