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Finding the Fourth Proportional to 1,490.41, 2,234.90 and 624.49

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Solution

The fourth proportional to 1,490.41, 2,234.90 and 624.49 is: 936.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.41 : 2,234.90 = 624.49 : x
  2. Step 2: Convert to fraction form
    1,490.41/2,234.90 = 624.49/x
  3. Step 3: Cross multiply
    1,490.41x = 2,234.90 × 624.49
  4. Step 4: Simplify right side
    1,490.41x = 1,395,669.58
  5. Step 5: Solve for x
    x = 1,395,669.58/1,490.41
  6. Step 6: Final answer
    x = 936.43

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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.