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Finding the Fourth Proportional to 1,012.86, 1,519.17 and 272.58

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Solution

The fourth proportional to 1,012.86, 1,519.17 and 272.58 is: 408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.86 : 1,519.17 = 272.58 : x
  2. Step 2: Convert to fraction form
    1,012.86/1,519.17 = 272.58/x
  3. Step 3: Cross multiply
    1,012.86x = 1,519.17 × 272.58
  4. Step 4: Simplify right side
    1,012.86x = 414,095.36
  5. Step 5: Solve for x
    x = 414,095.36/1,012.86
  6. Step 6: Final answer
    x = 408.84

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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.