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Finding the Fourth Proportional to 1,586.92, 2,380.42 and 432.68

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Solution

The fourth proportional to 1,586.92, 2,380.42 and 432.68 is: 649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.92 : 2,380.42 = 432.68 : x
  2. Step 2: Convert to fraction form
    1,586.92/2,380.42 = 432.68/x
  3. Step 3: Cross multiply
    1,586.92x = 2,380.42 × 432.68
  4. Step 4: Simplify right side
    1,586.92x = 1,029,960.13
  5. Step 5: Solve for x
    x = 1,029,960.13/1,586.92
  6. Step 6: Final answer
    x = 649.03

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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.