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Finding the Fourth Proportional to 1,219.02, 1,682.82 and 826.68

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Solution

The fourth proportional to 1,219.02, 1,682.82 and 826.68 is: 1,141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.02 : 1,682.82 = 826.68 : x
  2. Step 2: Convert to fraction form
    1,219.02/1,682.82 = 826.68/x
  3. Step 3: Cross multiply
    1,219.02x = 1,682.82 × 826.68
  4. Step 4: Simplify right side
    1,219.02x = 1,391,153.64
  5. Step 5: Solve for x
    x = 1,391,153.64/1,219.02
  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.