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Finding the Fourth Proportional to 989.42, 1,365.20 and 596.46

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Solution

The fourth proportional to 989.42, 1,365.20 and 596.46 is: 822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.42 : 1,365.20 = 596.46 : x
  2. Step 2: Convert to fraction form
    989.42/1,365.20 = 596.46/x
  3. Step 3: Cross multiply
    989.42x = 1,365.20 × 596.46
  4. Step 4: Simplify right side
    989.42x = 814,287.19
  5. Step 5: Solve for x
    x = 814,287.19/989.42
  6. Step 6: Final answer
    x = 822.99

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