Home / 1,036.14-1,431.94-849.34

Finding the Fourth Proportional to 1,036.14, 1,431.94 and 849.34

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Solution

The fourth proportional to 1,036.14, 1,431.94 and 849.34 is: 1,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.14 : 1,431.94 = 849.34 : x
  2. Step 2: Convert to fraction form
    1,036.14/1,431.94 = 849.34/x
  3. Step 3: Cross multiply
    1,036.14x = 1,431.94 × 849.34
  4. Step 4: Simplify right side
    1,036.14x = 1,216,203.92
  5. Step 5: Solve for x
    x = 1,216,203.92/1,036.14
  6. Step 6: Final answer
    x = 1,173.78

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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.