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Finding the Fourth Proportional to 983.64, 1,474.38 and 463.23

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Solution

The fourth proportional to 983.64, 1,474.38 and 463.23 is: 694.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.64 : 1,474.38 = 463.23 : x
  2. Step 2: Convert to fraction form
    983.64/1,474.38 = 463.23/x
  3. Step 3: Cross multiply
    983.64x = 1,474.38 × 463.23
  4. Step 4: Simplify right side
    983.64x = 682,977.05
  5. Step 5: Solve for x
    x = 682,977.05/983.64
  6. Step 6: Final answer
    x = 694.34

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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.