Home / 1,120.23-1,680.35-298.46

Finding the Fourth Proportional to 1,120.23, 1,680.35 and 298.46

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Solution

The fourth proportional to 1,120.23, 1,680.35 and 298.46 is: 447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.23 : 1,680.35 = 298.46 : x
  2. Step 2: Convert to fraction form
    1,120.23/1,680.35 = 298.46/x
  3. Step 3: Cross multiply
    1,120.23x = 1,680.35 × 298.46
  4. Step 4: Simplify right side
    1,120.23x = 501,515.77
  5. Step 5: Solve for x
    x = 501,515.77/1,120.23
  6. Step 6: Final answer
    x = 447.69

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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.