Home / 1,496.17-2,241.21-713.80

Finding the Fourth Proportional to 1,496.17, 2,241.21 and 713.80

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Solution

The fourth proportional to 1,496.17, 2,241.21 and 713.80 is: 1,069.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.17 : 2,241.21 = 713.80 : x
  2. Step 2: Convert to fraction form
    1,496.17/2,241.21 = 713.80/x
  3. Step 3: Cross multiply
    1,496.17x = 2,241.21 × 713.80
  4. Step 4: Simplify right side
    1,496.17x = 1,599,775.70
  5. Step 5: Solve for x
    x = 1,599,775.70/1,496.17
  6. Step 6: Final answer
    x = 1,069.25

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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.