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Finding the Fourth Proportional to 1,012.06, 1,517.82 and 395.74

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Solution

The fourth proportional to 1,012.06, 1,517.82 and 395.74 is: 593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.06 : 1,517.82 = 395.74 : x
  2. Step 2: Convert to fraction form
    1,012.06/1,517.82 = 395.74/x
  3. Step 3: Cross multiply
    1,012.06x = 1,517.82 × 395.74
  4. Step 4: Simplify right side
    1,012.06x = 600,662.09
  5. Step 5: Solve for x
    x = 600,662.09/1,012.06
  6. Step 6: Final answer
    x = 593.50

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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.