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Finding the Fourth Proportional to 1,131.31, 1,563.15 and 815.95

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Solution

The fourth proportional to 1,131.31, 1,563.15 and 815.95 is: 1,127.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.31 : 1,563.15 = 815.95 : x
  2. Step 2: Convert to fraction form
    1,131.31/1,563.15 = 815.95/x
  3. Step 3: Cross multiply
    1,131.31x = 1,563.15 × 815.95
  4. Step 4: Simplify right side
    1,131.31x = 1,275,452.24
  5. Step 5: Solve for x
    x = 1,275,452.24/1,131.31
  6. Step 6: Final answer
    x = 1,127.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.