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Finding the Fourth Proportional to 1,012.23, 1,517.62 and 395.41

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Solution

The fourth proportional to 1,012.23, 1,517.62 and 395.41 is: 592.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.23 : 1,517.62 = 395.41 : x
  2. Step 2: Convert to fraction form
    1,012.23/1,517.62 = 395.41/x
  3. Step 3: Cross multiply
    1,012.23x = 1,517.62 × 395.41
  4. Step 4: Simplify right side
    1,012.23x = 600,082.12
  5. Step 5: Solve for x
    x = 600,082.12/1,012.23
  6. Step 6: Final answer
    x = 592.83

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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.