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Finding the Fourth Proportional to 1,012.98, 1,517.61 and 683.70

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Solution

The fourth proportional to 1,012.98, 1,517.61 and 683.70 is: 1,024.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.98 : 1,517.61 = 683.70 : x
  2. Step 2: Convert to fraction form
    1,012.98/1,517.61 = 683.70/x
  3. Step 3: Cross multiply
    1,012.98x = 1,517.61 × 683.70
  4. Step 4: Simplify right side
    1,012.98x = 1,037,589.96
  5. Step 5: Solve for x
    x = 1,037,589.96/1,012.98
  6. Step 6: Final answer
    x = 1,024.29

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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.