Home / 1,120.20-1,680.14-298.52

Finding the Fourth Proportional to 1,120.20, 1,680.14 and 298.52

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Solution

The fourth proportional to 1,120.20, 1,680.14 and 298.52 is: 447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.20 : 1,680.14 = 298.52 : x
  2. Step 2: Convert to fraction form
    1,120.20/1,680.14 = 298.52/x
  3. Step 3: Cross multiply
    1,120.20x = 1,680.14 × 298.52
  4. Step 4: Simplify right side
    1,120.20x = 501,555.39
  5. Step 5: Solve for x
    x = 501,555.39/1,120.20
  6. Step 6: Final answer
    x = 447.74

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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.