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Finding the Fourth Proportional to 1,586.73, 2,380.77 and 662.47

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Solution

The fourth proportional to 1,586.73, 2,380.77 and 662.47 is: 993.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.73 : 2,380.77 = 662.47 : x
  2. Step 2: Convert to fraction form
    1,586.73/2,380.77 = 662.47/x
  3. Step 3: Cross multiply
    1,586.73x = 2,380.77 × 662.47
  4. Step 4: Simplify right side
    1,586.73x = 1,577,188.70
  5. Step 5: Solve for x
    x = 1,577,188.70/1,586.73
  6. Step 6: Final answer
    x = 993.99

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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.