Home / 1,519.72-2,279.28-698.20

Finding the Fourth Proportional to 1,519.72, 2,279.28 and 698.20

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Solution

The fourth proportional to 1,519.72, 2,279.28 and 698.20 is: 1,047.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.72 : 2,279.28 = 698.20 : x
  2. Step 2: Convert to fraction form
    1,519.72/2,279.28 = 698.20/x
  3. Step 3: Cross multiply
    1,519.72x = 2,279.28 × 698.20
  4. Step 4: Simplify right side
    1,519.72x = 1,591,393.30
  5. Step 5: Solve for x
    x = 1,591,393.30/1,519.72
  6. Step 6: Final answer
    x = 1,047.16

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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.