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Finding the Fourth Proportional to 989.78, 1,365.96 and 596.94

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Solution

The fourth proportional to 989.78, 1,365.96 and 596.94 is: 823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.78 : 1,365.96 = 596.94 : x
  2. Step 2: Convert to fraction form
    989.78/1,365.96 = 596.94/x
  3. Step 3: Cross multiply
    989.78x = 1,365.96 × 596.94
  4. Step 4: Simplify right side
    989.78x = 815,396.16
  5. Step 5: Solve for x
    x = 815,396.16/989.78
  6. Step 6: Final answer
    x = 823.82

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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.