Home / 1,214.73-1,821.29-727.52

Finding the Fourth Proportional to 1,214.73, 1,821.29 and 727.52

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Solution

The fourth proportional to 1,214.73, 1,821.29 and 727.52 is: 1,090.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.73 : 1,821.29 = 727.52 : x
  2. Step 2: Convert to fraction form
    1,214.73/1,821.29 = 727.52/x
  3. Step 3: Cross multiply
    1,214.73x = 1,821.29 × 727.52
  4. Step 4: Simplify right side
    1,214.73x = 1,325,012.16
  5. Step 5: Solve for x
    x = 1,325,012.16/1,214.73
  6. Step 6: Final answer
    x = 1,090.79

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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.