Home / 1,272.24-1,755.66-829.30

Finding the Fourth Proportional to 1,272.24, 1,755.66 and 829.30

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Solution

The fourth proportional to 1,272.24, 1,755.66 and 829.30 is: 1,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.24 : 1,755.66 = 829.30 : x
  2. Step 2: Convert to fraction form
    1,272.24/1,755.66 = 829.30/x
  3. Step 3: Cross multiply
    1,272.24x = 1,755.66 × 829.30
  4. Step 4: Simplify right side
    1,272.24x = 1,455,968.84
  5. Step 5: Solve for x
    x = 1,455,968.84/1,272.24
  6. Step 6: Final answer
    x = 1,144.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.