Home / 1,120.20-1,680.38-298.47

Finding the Fourth Proportional to 1,120.20, 1,680.38 and 298.47

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Solution

The fourth proportional to 1,120.20, 1,680.38 and 298.47 is: 447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.20 : 1,680.38 = 298.47 : x
  2. Step 2: Convert to fraction form
    1,120.20/1,680.38 = 298.47/x
  3. Step 3: Cross multiply
    1,120.20x = 1,680.38 × 298.47
  4. Step 4: Simplify right side
    1,120.20x = 501,543.02
  5. Step 5: Solve for x
    x = 501,543.02/1,120.20
  6. Step 6: Final answer
    x = 447.73

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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.