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Finding the Fourth Proportional to 1,035.39, 1,553.77 and 450.23

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Solution

The fourth proportional to 1,035.39, 1,553.77 and 450.23 is: 675.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.39 : 1,553.77 = 450.23 : x
  2. Step 2: Convert to fraction form
    1,035.39/1,553.77 = 450.23/x
  3. Step 3: Cross multiply
    1,035.39x = 1,553.77 × 450.23
  4. Step 4: Simplify right side
    1,035.39x = 699,546.66
  5. Step 5: Solve for x
    x = 699,546.66/1,035.39
  6. Step 6: Final answer
    x = 675.63

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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.