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Finding the Fourth Proportional to 983.02, 1,474.37 and 252.56

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Solution

The fourth proportional to 983.02, 1,474.37 and 252.56 is: 378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.02 : 1,474.37 = 252.56 : x
  2. Step 2: Convert to fraction form
    983.02/1,474.37 = 252.56/x
  3. Step 3: Cross multiply
    983.02x = 1,474.37 × 252.56
  4. Step 4: Simplify right side
    983.02x = 372,366.89
  5. Step 5: Solve for x
    x = 372,366.89/983.02
  6. Step 6: Final answer
    x = 378.80

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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.