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Finding the Fourth Proportional to 999.54, 1,499.56 and 983

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Solution

The fourth proportional to 999.54, 1,499.56 and 983 is: 1,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.54 : 1,499.56 = 983 : x
  2. Step 2: Convert to fraction form
    999.54/1,499.56 = 983/x
  3. Step 3: Cross multiply
    999.54x = 1,499.56 × 983
  4. Step 4: Simplify right side
    999.54x = 1,474,067.48
  5. Step 5: Solve for x
    x = 1,474,067.48/999.54
  6. Step 6: Final answer
    x = 1,474.75

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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.