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Finding the Fourth Proportional to 989.73, 1,365.80 and 596.69

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Solution

The fourth proportional to 989.73, 1,365.80 and 596.69 is: 823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.73 : 1,365.80 = 596.69 : x
  2. Step 2: Convert to fraction form
    989.73/1,365.80 = 596.69/x
  3. Step 3: Cross multiply
    989.73x = 1,365.80 × 596.69
  4. Step 4: Simplify right side
    989.73x = 814,949.39
  5. Step 5: Solve for x
    x = 814,949.39/989.73
  6. Step 6: Final answer
    x = 823.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.