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Finding the Fourth Proportional to 919.80, 1,376.82 and 687.36

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Solution

The fourth proportional to 919.80, 1,376.82 and 687.36 is: 1,028.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.80 : 1,376.82 = 687.36 : x
  2. Step 2: Convert to fraction form
    919.80/1,376.82 = 687.36/x
  3. Step 3: Cross multiply
    919.80x = 1,376.82 × 687.36
  4. Step 4: Simplify right side
    919.80x = 946,371.00
  5. Step 5: Solve for x
    x = 946,371.00/919.80
  6. Step 6: Final answer
    x = 1,028.89

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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.