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Finding the Fourth Proportional to 1,663, 2,494.49 and 430.41

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Solution

The fourth proportional to 1,663, 2,494.49 and 430.41 is: 645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663 : 2,494.49 = 430.41 : x
  2. Step 2: Convert to fraction form
    1,663/2,494.49 = 430.41/x
  3. Step 3: Cross multiply
    1,663x = 2,494.49 × 430.41
  4. Step 4: Simplify right side
    1,663x = 1,073,640.97
  5. Step 5: Solve for x
    x = 1,073,640.97/1,663
  6. Step 6: Final answer
    x = 645.60

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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.