Home / 1,042.15-1,563.27-677.20

Finding the Fourth Proportional to 1,042.15, 1,563.27 and 677.20

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Solution

The fourth proportional to 1,042.15, 1,563.27 and 677.20 is: 1,015.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.15 : 1,563.27 = 677.20 : x
  2. Step 2: Convert to fraction form
    1,042.15/1,563.27 = 677.20/x
  3. Step 3: Cross multiply
    1,042.15x = 1,563.27 × 677.20
  4. Step 4: Simplify right side
    1,042.15x = 1,058,646.44
  5. Step 5: Solve for x
    x = 1,058,646.44/1,042.15
  6. Step 6: Final answer
    x = 1,015.83

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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.