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Finding the Fourth Proportional to 984.70, 1,359.14 and 611.47

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Solution

The fourth proportional to 984.70, 1,359.14 and 611.47 is: 843.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.70 : 1,359.14 = 611.47 : x
  2. Step 2: Convert to fraction form
    984.70/1,359.14 = 611.47/x
  3. Step 3: Cross multiply
    984.70x = 1,359.14 × 611.47
  4. Step 4: Simplify right side
    984.70x = 831,073.34
  5. Step 5: Solve for x
    x = 831,073.34/984.70
  6. Step 6: Final answer
    x = 843.99

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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.