Home / 1,231.19-1,698.80-759.16

Finding the Fourth Proportional to 1,231.19, 1,698.80 and 759.16

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Solution

The fourth proportional to 1,231.19, 1,698.80 and 759.16 is: 1,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.19 : 1,698.80 = 759.16 : x
  2. Step 2: Convert to fraction form
    1,231.19/1,698.80 = 759.16/x
  3. Step 3: Cross multiply
    1,231.19x = 1,698.80 × 759.16
  4. Step 4: Simplify right side
    1,231.19x = 1,289,661.01
  5. Step 5: Solve for x
    x = 1,289,661.01/1,231.19
  6. Step 6: Final answer
    x = 1,047.49

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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.