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Finding the Fourth Proportional to 1,633.07, 2,449.61 and 593.21

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Solution

The fourth proportional to 1,633.07, 2,449.61 and 593.21 is: 889.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.07 : 2,449.61 = 593.21 : x
  2. Step 2: Convert to fraction form
    1,633.07/2,449.61 = 593.21/x
  3. Step 3: Cross multiply
    1,633.07x = 2,449.61 × 593.21
  4. Step 4: Simplify right side
    1,633.07x = 1,453,133.15
  5. Step 5: Solve for x
    x = 1,453,133.15/1,633.07
  6. Step 6: Final answer
    x = 889.82

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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.