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Finding the Fourth Proportional to 983.20, 1,474.80 and 824.80

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Solution

The fourth proportional to 983.20, 1,474.80 and 824.80 is: 1,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.20 : 1,474.80 = 824.80 : x
  2. Step 2: Convert to fraction form
    983.20/1,474.80 = 824.80/x
  3. Step 3: Cross multiply
    983.20x = 1,474.80 × 824.80
  4. Step 4: Simplify right side
    983.20x = 1,216,415.04
  5. Step 5: Solve for x
    x = 1,216,415.04/983.20
  6. Step 6: Final answer
    x = 1,237.20

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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.