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Finding the Fourth Proportional to 1,012.45, 1,517.67 and 427.61

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Solution

The fourth proportional to 1,012.45, 1,517.67 and 427.61 is: 640.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.45 : 1,517.67 = 427.61 : x
  2. Step 2: Convert to fraction form
    1,012.45/1,517.67 = 427.61/x
  3. Step 3: Cross multiply
    1,012.45x = 1,517.67 × 427.61
  4. Step 4: Simplify right side
    1,012.45x = 648,970.87
  5. Step 5: Solve for x
    x = 648,970.87/1,012.45
  6. Step 6: Final answer
    x = 640.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.