Home / 1,513.14-2,269.72-782.28

Finding the Fourth Proportional to 1,513.14, 2,269.72 and 782.28

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Solution

The fourth proportional to 1,513.14, 2,269.72 and 782.28 is: 1,173.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.14 : 2,269.72 = 782.28 : x
  2. Step 2: Convert to fraction form
    1,513.14/2,269.72 = 782.28/x
  3. Step 3: Cross multiply
    1,513.14x = 2,269.72 × 782.28
  4. Step 4: Simplify right side
    1,513.14x = 1,775,556.56
  5. Step 5: Solve for x
    x = 1,775,556.56/1,513.14
  6. Step 6: Final answer
    x = 1,173.43

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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.