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Finding the Fourth Proportional to 1,586.72, 2,380.23 and 546.58

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Solution

The fourth proportional to 1,586.72, 2,380.23 and 546.58 is: 819.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.72 : 2,380.23 = 546.58 : x
  2. Step 2: Convert to fraction form
    1,586.72/2,380.23 = 546.58/x
  3. Step 3: Cross multiply
    1,586.72x = 2,380.23 × 546.58
  4. Step 4: Simplify right side
    1,586.72x = 1,300,991.14
  5. Step 5: Solve for x
    x = 1,300,991.14/1,586.72
  6. Step 6: Final answer
    x = 819.93

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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.