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Finding the Fourth Proportional to 1,083.67, 1,623.97 and 620.76

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Solution

The fourth proportional to 1,083.67, 1,623.97 and 620.76 is: 930.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.67 : 1,623.97 = 620.76 : x
  2. Step 2: Convert to fraction form
    1,083.67/1,623.97 = 620.76/x
  3. Step 3: Cross multiply
    1,083.67x = 1,623.97 × 620.76
  4. Step 4: Simplify right side
    1,083.67x = 1,008,095.62
  5. Step 5: Solve for x
    x = 1,008,095.62/1,083.67
  6. Step 6: Final answer
    x = 930.26

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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.