Home / 1,455.09-2,180.69-713.57

Finding the Fourth Proportional to 1,455.09, 2,180.69 and 713.57

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Solution

The fourth proportional to 1,455.09, 2,180.69 and 713.57 is: 1,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.09 : 2,180.69 = 713.57 : x
  2. Step 2: Convert to fraction form
    1,455.09/2,180.69 = 713.57/x
  3. Step 3: Cross multiply
    1,455.09x = 2,180.69 × 713.57
  4. Step 4: Simplify right side
    1,455.09x = 1,556,060.49
  5. Step 5: Solve for x
    x = 1,556,060.49/1,455.09
  6. Step 6: Final answer
    x = 1,069.39

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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.