Home / 1,423.14-1,963.82-825.52

Finding the Fourth Proportional to 1,423.14, 1,963.82 and 825.52

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Solution

The fourth proportional to 1,423.14, 1,963.82 and 825.52 is: 1,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.14 : 1,963.82 = 825.52 : x
  2. Step 2: Convert to fraction form
    1,423.14/1,963.82 = 825.52/x
  3. Step 3: Cross multiply
    1,423.14x = 1,963.82 × 825.52
  4. Step 4: Simplify right side
    1,423.14x = 1,621,165.68
  5. Step 5: Solve for x
    x = 1,621,165.68/1,423.14
  6. Step 6: Final answer
    x = 1,139.14

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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.