Home / 1,412.19-2,118.29-762.84

Finding the Fourth Proportional to 1,412.19, 2,118.29 and 762.84

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Solution

The fourth proportional to 1,412.19, 2,118.29 and 762.84 is: 1,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.19 : 2,118.29 = 762.84 : x
  2. Step 2: Convert to fraction form
    1,412.19/2,118.29 = 762.84/x
  3. Step 3: Cross multiply
    1,412.19x = 2,118.29 × 762.84
  4. Step 4: Simplify right side
    1,412.19x = 1,615,912.53
  5. Step 5: Solve for x
    x = 1,615,912.53/1,412.19
  6. Step 6: Final answer
    x = 1,144.26

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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.