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Finding the Fourth Proportional to 1,686.29, 2,529.66 and 453.74

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Solution

The fourth proportional to 1,686.29, 2,529.66 and 453.74 is: 680.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.29 : 2,529.66 = 453.74 : x
  2. Step 2: Convert to fraction form
    1,686.29/2,529.66 = 453.74/x
  3. Step 3: Cross multiply
    1,686.29x = 2,529.66 × 453.74
  4. Step 4: Simplify right side
    1,686.29x = 1,147,796.98
  5. Step 5: Solve for x
    x = 1,147,796.98/1,686.29
  6. Step 6: Final answer
    x = 680.67

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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.