Home / 1,021.14-1,408.50-943.83

Finding the Fourth Proportional to 1,021.14, 1,408.50 and 943.83

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Solution

The fourth proportional to 1,021.14, 1,408.50 and 943.83 is: 1,301.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.14 : 1,408.50 = 943.83 : x
  2. Step 2: Convert to fraction form
    1,021.14/1,408.50 = 943.83/x
  3. Step 3: Cross multiply
    1,021.14x = 1,408.50 × 943.83
  4. Step 4: Simplify right side
    1,021.14x = 1,329,384.56
  5. Step 5: Solve for x
    x = 1,329,384.56/1,021.14
  6. Step 6: Final answer
    x = 1,301.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.