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Finding the Fourth Proportional to 983.80, 1,475.70 and 827.20

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Solution

The fourth proportional to 983.80, 1,475.70 and 827.20 is: 1,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.80 : 1,475.70 = 827.20 : x
  2. Step 2: Convert to fraction form
    983.80/1,475.70 = 827.20/x
  3. Step 3: Cross multiply
    983.80x = 1,475.70 × 827.20
  4. Step 4: Simplify right side
    983.80x = 1,220,699.04
  5. Step 5: Solve for x
    x = 1,220,699.04/983.80
  6. Step 6: Final answer
    x = 1,240.80

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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.