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Finding the Fourth Proportional to 1,687.30, 2,529.38 and 863.75

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Solution

The fourth proportional to 1,687.30, 2,529.38 and 863.75 is: 1,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.30 : 2,529.38 = 863.75 : x
  2. Step 2: Convert to fraction form
    1,687.30/2,529.38 = 863.75/x
  3. Step 3: Cross multiply
    1,687.30x = 2,529.38 × 863.75
  4. Step 4: Simplify right side
    1,687.30x = 2,184,760.46
  5. Step 5: Solve for x
    x = 2,184,760.46/1,687.30
  6. Step 6: Final answer
    x = 1,294.83

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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.