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Finding the Fourth Proportional to 1,490.85, 2,236.68 and 450.81

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Solution

The fourth proportional to 1,490.85, 2,236.68 and 450.81 is: 676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.85 : 2,236.68 = 450.81 : x
  2. Step 2: Convert to fraction form
    1,490.85/2,236.68 = 450.81/x
  3. Step 3: Cross multiply
    1,490.85x = 2,236.68 × 450.81
  4. Step 4: Simplify right side
    1,490.85x = 1,008,317.71
  5. Step 5: Solve for x
    x = 1,008,317.71/1,490.85
  6. Step 6: Final answer
    x = 676.34

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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.