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Finding the Fourth Proportional to 1,633.82, 2,450.74 and 593.96

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Solution

The fourth proportional to 1,633.82, 2,450.74 and 593.96 is: 890.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.82 : 2,450.74 = 593.96 : x
  2. Step 2: Convert to fraction form
    1,633.82/2,450.74 = 593.96/x
  3. Step 3: Cross multiply
    1,633.82x = 2,450.74 × 593.96
  4. Step 4: Simplify right side
    1,633.82x = 1,455,641.53
  5. Step 5: Solve for x
    x = 1,455,641.53/1,633.82
  6. Step 6: Final answer
    x = 890.94

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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.