Home / 1,428.13-2,142.45-504.23

Finding the Fourth Proportional to 1,428.13, 2,142.45 and 504.23

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Solution

The fourth proportional to 1,428.13, 2,142.45 and 504.23 is: 756.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.13 : 2,142.45 = 504.23 : x
  2. Step 2: Convert to fraction form
    1,428.13/2,142.45 = 504.23/x
  3. Step 3: Cross multiply
    1,428.13x = 2,142.45 × 504.23
  4. Step 4: Simplify right side
    1,428.13x = 1,080,274.33
  5. Step 5: Solve for x
    x = 1,080,274.33/1,428.13
  6. Step 6: Final answer
    x = 756.43

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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.