Home / 1,687.25-2,530.27-713.43

Finding the Fourth Proportional to 1,687.25, 2,530.27 and 713.43

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Solution

The fourth proportional to 1,687.25, 2,530.27 and 713.43 is: 1,069.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.25 : 2,530.27 = 713.43 : x
  2. Step 2: Convert to fraction form
    1,687.25/2,530.27 = 713.43/x
  3. Step 3: Cross multiply
    1,687.25x = 2,530.27 × 713.43
  4. Step 4: Simplify right side
    1,687.25x = 1,805,170.53
  5. Step 5: Solve for x
    x = 1,805,170.53/1,687.25
  6. Step 6: Final answer
    x = 1,069.89

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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.