Home / 1,213.49-1,673.31-933.11

Finding the Fourth Proportional to 1,213.49, 1,673.31 and 933.11

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Solution

The fourth proportional to 1,213.49, 1,673.31 and 933.11 is: 1,286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.49 : 1,673.31 = 933.11 : x
  2. Step 2: Convert to fraction form
    1,213.49/1,673.31 = 933.11/x
  3. Step 3: Cross multiply
    1,213.49x = 1,673.31 × 933.11
  4. Step 4: Simplify right side
    1,213.49x = 1,561,381.13
  5. Step 5: Solve for x
    x = 1,561,381.13/1,213.49
  6. Step 6: Final answer
    x = 1,286.68

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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.