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Finding the Fourth Proportional to 1,219.70, 1,683.43 and 826.85

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Solution

The fourth proportional to 1,219.70, 1,683.43 and 826.85 is: 1,141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.70 : 1,683.43 = 826.85 : x
  2. Step 2: Convert to fraction form
    1,219.70/1,683.43 = 826.85/x
  3. Step 3: Cross multiply
    1,219.70x = 1,683.43 × 826.85
  4. Step 4: Simplify right side
    1,219.70x = 1,391,933.61
  5. Step 5: Solve for x
    x = 1,391,933.61/1,219.70
  6. Step 6: Final answer
    x = 1,141.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.