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Finding the Fourth Proportional to 1,686.28, 2,529.46 and 453.69

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Solution

The fourth proportional to 1,686.28, 2,529.46 and 453.69 is: 680.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.28 : 2,529.46 = 453.69 : x
  2. Step 2: Convert to fraction form
    1,686.28/2,529.46 = 453.69/x
  3. Step 3: Cross multiply
    1,686.28x = 2,529.46 × 453.69
  4. Step 4: Simplify right side
    1,686.28x = 1,147,581.79
  5. Step 5: Solve for x
    x = 1,147,581.79/1,686.28
  6. Step 6: Final answer
    x = 680.54

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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.