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Finding the Fourth Proportional to 1,660.45, 2,489.94 and 505.93

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Solution

The fourth proportional to 1,660.45, 2,489.94 and 505.93 is: 758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.45 : 2,489.94 = 505.93 : x
  2. Step 2: Convert to fraction form
    1,660.45/2,489.94 = 505.93/x
  3. Step 3: Cross multiply
    1,660.45x = 2,489.94 × 505.93
  4. Step 4: Simplify right side
    1,660.45x = 1,259,735.34
  5. Step 5: Solve for x
    x = 1,259,735.34/1,660.45
  6. Step 6: Final answer
    x = 758.67

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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.