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Finding the Fourth Proportional to 1,219.14, 1,682.00 and 687.96

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Solution

The fourth proportional to 1,219.14, 1,682.00 and 687.96 is: 949.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.14 : 1,682.00 = 687.96 : x
  2. Step 2: Convert to fraction form
    1,219.14/1,682.00 = 687.96/x
  3. Step 3: Cross multiply
    1,219.14x = 1,682.00 × 687.96
  4. Step 4: Simplify right side
    1,219.14x = 1,157,145.28
  5. Step 5: Solve for x
    x = 1,157,145.28/1,219.14
  6. Step 6: Final answer
    x = 949.15

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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.