Home / 1,163.43-1,743.09-614.40

Finding the Fourth Proportional to 1,163.43, 1,743.09 and 614.40

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Solution

The fourth proportional to 1,163.43, 1,743.09 and 614.40 is: 920.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.43 : 1,743.09 = 614.40 : x
  2. Step 2: Convert to fraction form
    1,163.43/1,743.09 = 614.40/x
  3. Step 3: Cross multiply
    1,163.43x = 1,743.09 × 614.40
  4. Step 4: Simplify right side
    1,163.43x = 1,070,950.14
  5. Step 5: Solve for x
    x = 1,070,950.14/1,163.43
  6. Step 6: Final answer
    x = 920.51

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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.