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Finding the Fourth Proportional to 1,012.80, 1,519.19 and 550.47

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Solution

The fourth proportional to 1,012.80, 1,519.19 and 550.47 is: 825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.80 : 1,519.19 = 550.47 : x
  2. Step 2: Convert to fraction form
    1,012.80/1,519.19 = 550.47/x
  3. Step 3: Cross multiply
    1,012.80x = 1,519.19 × 550.47
  4. Step 4: Simplify right side
    1,012.80x = 836,268.09
  5. Step 5: Solve for x
    x = 836,268.09/1,012.80
  6. Step 6: Final answer
    x = 825.70

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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.