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Finding the Fourth Proportional to 984.58, 1,473.66 and 724.52

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Solution

The fourth proportional to 984.58, 1,473.66 and 724.52 is: 1,084.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.58 : 1,473.66 = 724.52 : x
  2. Step 2: Convert to fraction form
    984.58/1,473.66 = 724.52/x
  3. Step 3: Cross multiply
    984.58x = 1,473.66 × 724.52
  4. Step 4: Simplify right side
    984.58x = 1,067,696.14
  5. Step 5: Solve for x
    x = 1,067,696.14/984.58
  6. Step 6: Final answer
    x = 1,084.42

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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.