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Finding the Fourth Proportional to 990.02, 1,366.37 and 596.97

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Solution

The fourth proportional to 990.02, 1,366.37 and 596.97 is: 823.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.02 : 1,366.37 = 596.97 : x
  2. Step 2: Convert to fraction form
    990.02/1,366.37 = 596.97/x
  3. Step 3: Cross multiply
    990.02x = 1,366.37 × 596.97
  4. Step 4: Simplify right side
    990.02x = 815,681.90
  5. Step 5: Solve for x
    x = 815,681.90/990.02
  6. Step 6: Final answer
    x = 823.90

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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.