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Finding the Fourth Proportional to 686.10, 1,027.80 and 441.75

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Solution

The fourth proportional to 686.10, 1,027.80 and 441.75 is: 661.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.10 : 1,027.80 = 441.75 : x
  2. Step 2: Convert to fraction form
    686.10/1,027.80 = 441.75/x
  3. Step 3: Cross multiply
    686.10x = 1,027.80 × 441.75
  4. Step 4: Simplify right side
    686.10x = 454,030.65
  5. Step 5: Solve for x
    x = 454,030.65/686.10
  6. Step 6: Final answer
    x = 661.76

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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.