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Finding the Fourth Proportional to 1,042.05, 1,563.65 and 811.41

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Solution

The fourth proportional to 1,042.05, 1,563.65 and 811.41 is: 1,217.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.05 : 1,563.65 = 811.41 : x
  2. Step 2: Convert to fraction form
    1,042.05/1,563.65 = 811.41/x
  3. Step 3: Cross multiply
    1,042.05x = 1,563.65 × 811.41
  4. Step 4: Simplify right side
    1,042.05x = 1,268,761.25
  5. Step 5: Solve for x
    x = 1,268,761.25/1,042.05
  6. Step 6: Final answer
    x = 1,217.56

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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.