Home / 1,023.14-1,534.12-936.06

Finding the Fourth Proportional to 1,023.14, 1,534.12 and 936.06

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Solution

The fourth proportional to 1,023.14, 1,534.12 and 936.06 is: 1,403.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.14 : 1,534.12 = 936.06 : x
  2. Step 2: Convert to fraction form
    1,023.14/1,534.12 = 936.06/x
  3. Step 3: Cross multiply
    1,023.14x = 1,534.12 × 936.06
  4. Step 4: Simplify right side
    1,023.14x = 1,436,028.37
  5. Step 5: Solve for x
    x = 1,436,028.37/1,023.14
  6. Step 6: Final answer
    x = 1,403.55

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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.