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Finding the Fourth Proportional to 1,042.02, 1,563.96 and 767.43

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Solution

The fourth proportional to 1,042.02, 1,563.96 and 767.43 is: 1,151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.02 : 1,563.96 = 767.43 : x
  2. Step 2: Convert to fraction form
    1,042.02/1,563.96 = 767.43/x
  3. Step 3: Cross multiply
    1,042.02x = 1,563.96 × 767.43
  4. Step 4: Simplify right side
    1,042.02x = 1,200,229.82
  5. Step 5: Solve for x
    x = 1,200,229.82/1,042.02
  6. Step 6: Final answer
    x = 1,151.83

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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.