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Finding the Fourth Proportional to 863.80, 1,289.82 and 688.50

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Solution

The fourth proportional to 863.80, 1,289.82 and 688.50 is: 1,028.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.80 : 1,289.82 = 688.50 : x
  2. Step 2: Convert to fraction form
    863.80/1,289.82 = 688.50/x
  3. Step 3: Cross multiply
    863.80x = 1,289.82 × 688.50
  4. Step 4: Simplify right side
    863.80x = 888,043.65
  5. Step 5: Solve for x
    x = 888,043.65/863.80
  6. Step 6: Final answer
    x = 1,028.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.