Home / 1,227.26-1,693.32-730.02

Finding the Fourth Proportional to 1,227.26, 1,693.32 and 730.02

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Solution

The fourth proportional to 1,227.26, 1,693.32 and 730.02 is: 1,007.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.26 : 1,693.32 = 730.02 : x
  2. Step 2: Convert to fraction form
    1,227.26/1,693.32 = 730.02/x
  3. Step 3: Cross multiply
    1,227.26x = 1,693.32 × 730.02
  4. Step 4: Simplify right side
    1,227.26x = 1,236,157.47
  5. Step 5: Solve for x
    x = 1,236,157.47/1,227.26
  6. Step 6: Final answer
    x = 1,007.25

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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.