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Finding the Fourth Proportional to 983.64, 1,474.20 and 821.64

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Solution

The fourth proportional to 983.64, 1,474.20 and 821.64 is: 1,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.64 : 1,474.20 = 821.64 : x
  2. Step 2: Convert to fraction form
    983.64/1,474.20 = 821.64/x
  3. Step 3: Cross multiply
    983.64x = 1,474.20 × 821.64
  4. Step 4: Simplify right side
    983.64x = 1,211,261.69
  5. Step 5: Solve for x
    x = 1,211,261.69/983.64
  6. Step 6: Final answer
    x = 1,231.41

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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.