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Finding the Fourth Proportional to 989.34, 1,365.29 and 596.26

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Solution

The fourth proportional to 989.34, 1,365.29 and 596.26 is: 822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.34 : 1,365.29 = 596.26 : x
  2. Step 2: Convert to fraction form
    989.34/1,365.29 = 596.26/x
  3. Step 3: Cross multiply
    989.34x = 1,365.29 × 596.26
  4. Step 4: Simplify right side
    989.34x = 814,067.82
  5. Step 5: Solve for x
    x = 814,067.82/989.34
  6. Step 6: Final answer
    x = 822.84

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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.