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Finding the Fourth Proportional to 984.96, 1,359.32 and 591.98

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Solution

The fourth proportional to 984.96, 1,359.32 and 591.98 is: 816.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.96 : 1,359.32 = 591.98 : x
  2. Step 2: Convert to fraction form
    984.96/1,359.32 = 591.98/x
  3. Step 3: Cross multiply
    984.96x = 1,359.32 × 591.98
  4. Step 4: Simplify right side
    984.96x = 804,680.50
  5. Step 5: Solve for x
    x = 804,680.50/984.96
  6. Step 6: Final answer
    x = 816.97

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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.