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Finding the Fourth Proportional to 1,588.43, 2,382.46 and 418.54

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Solution

The fourth proportional to 1,588.43, 2,382.46 and 418.54 is: 627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.43 : 2,382.46 = 418.54 : x
  2. Step 2: Convert to fraction form
    1,588.43/2,382.46 = 418.54/x
  3. Step 3: Cross multiply
    1,588.43x = 2,382.46 × 418.54
  4. Step 4: Simplify right side
    1,588.43x = 997,142.90
  5. Step 5: Solve for x
    x = 997,142.90/1,588.43
  6. Step 6: Final answer
    x = 627.76

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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.