Home / 1,410.36-2,112.84-716.01

Finding the Fourth Proportional to 1,410.36, 2,112.84 and 716.01

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Solution

The fourth proportional to 1,410.36, 2,112.84 and 716.01 is: 1,072.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.36 : 2,112.84 = 716.01 : x
  2. Step 2: Convert to fraction form
    1,410.36/2,112.84 = 716.01/x
  3. Step 3: Cross multiply
    1,410.36x = 2,112.84 × 716.01
  4. Step 4: Simplify right side
    1,410.36x = 1,512,814.57
  5. Step 5: Solve for x
    x = 1,512,814.57/1,410.36
  6. Step 6: Final answer
    x = 1,072.64

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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.