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Finding the Fourth Proportional to 1,586.84, 2,380.26 and 432.68

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Solution

The fourth proportional to 1,586.84, 2,380.26 and 432.68 is: 649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.84 : 2,380.26 = 432.68 : x
  2. Step 2: Convert to fraction form
    1,586.84/2,380.26 = 432.68/x
  3. Step 3: Cross multiply
    1,586.84x = 2,380.26 × 432.68
  4. Step 4: Simplify right side
    1,586.84x = 1,029,890.90
  5. Step 5: Solve for x
    x = 1,029,890.90/1,586.84
  6. Step 6: Final answer
    x = 649.02

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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.