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Finding the Fourth Proportional to 1,042.28, 1,563.95 and 677.24

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Solution

The fourth proportional to 1,042.28, 1,563.95 and 677.24 is: 1,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.28 : 1,563.95 = 677.24 : x
  2. Step 2: Convert to fraction form
    1,042.28/1,563.95 = 677.24/x
  3. Step 3: Cross multiply
    1,042.28x = 1,563.95 × 677.24
  4. Step 4: Simplify right side
    1,042.28x = 1,059,163.37
  5. Step 5: Solve for x
    x = 1,059,163.37/1,042.28
  6. Step 6: Final answer
    x = 1,016.20

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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.