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Finding the Fourth Proportional to 1,121.63, 1,682.05 and 428.49

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Solution

The fourth proportional to 1,121.63, 1,682.05 and 428.49 is: 642.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.63 : 1,682.05 = 428.49 : x
  2. Step 2: Convert to fraction form
    1,121.63/1,682.05 = 428.49/x
  3. Step 3: Cross multiply
    1,121.63x = 1,682.05 × 428.49
  4. Step 4: Simplify right side
    1,121.63x = 720,742.14
  5. Step 5: Solve for x
    x = 720,742.14/1,121.63
  6. Step 6: Final answer
    x = 642.59

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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.