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Finding the Fourth Proportional to 1,120.49, 1,680.54 and 298.85

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Solution

The fourth proportional to 1,120.49, 1,680.54 and 298.85 is: 448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.49 : 1,680.54 = 298.85 : x
  2. Step 2: Convert to fraction form
    1,120.49/1,680.54 = 298.85/x
  3. Step 3: Cross multiply
    1,120.49x = 1,680.54 × 298.85
  4. Step 4: Simplify right side
    1,120.49x = 502,229.38
  5. Step 5: Solve for x
    x = 502,229.38/1,120.49
  6. Step 6: Final answer
    x = 448.22

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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.