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Finding the Fourth Proportional to 992.25, 1,485.44 and 683.44

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Solution

The fourth proportional to 992.25, 1,485.44 and 683.44 is: 1,023.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.25 : 1,485.44 = 683.44 : x
  2. Step 2: Convert to fraction form
    992.25/1,485.44 = 683.44/x
  3. Step 3: Cross multiply
    992.25x = 1,485.44 × 683.44
  4. Step 4: Simplify right side
    992.25x = 1,015,204.55
  5. Step 5: Solve for x
    x = 1,015,204.55/992.25
  6. Step 6: Final answer
    x = 1,023.13

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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.