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Finding the Fourth Proportional to 1,586.29, 2,380.12 and 662.03

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Solution

The fourth proportional to 1,586.29, 2,380.12 and 662.03 is: 993.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.29 : 2,380.12 = 662.03 : x
  2. Step 2: Convert to fraction form
    1,586.29/2,380.12 = 662.03/x
  3. Step 3: Cross multiply
    1,586.29x = 2,380.12 × 662.03
  4. Step 4: Simplify right side
    1,586.29x = 1,575,706.21
  5. Step 5: Solve for x
    x = 1,575,706.21/1,586.29
  6. Step 6: Final answer
    x = 993.33

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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.