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Finding the Fourth Proportional to 984.91, 1,474.93 and 724.30

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Solution

The fourth proportional to 984.91, 1,474.93 and 724.30 is: 1,084.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.91 : 1,474.93 = 724.30 : x
  2. Step 2: Convert to fraction form
    984.91/1,474.93 = 724.30/x
  3. Step 3: Cross multiply
    984.91x = 1,474.93 × 724.30
  4. Step 4: Simplify right side
    984.91x = 1,068,291.80
  5. Step 5: Solve for x
    x = 1,068,291.80/984.91
  6. Step 6: Final answer
    x = 1,084.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.