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Finding the Fourth Proportional to 982.68, 1,474.06 and 405.50

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Solution

The fourth proportional to 982.68, 1,474.06 and 405.50 is: 608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.68 : 1,474.06 = 405.50 : x
  2. Step 2: Convert to fraction form
    982.68/1,474.06 = 405.50/x
  3. Step 3: Cross multiply
    982.68x = 1,474.06 × 405.50
  4. Step 4: Simplify right side
    982.68x = 597,731.33
  5. Step 5: Solve for x
    x = 597,731.33/982.68
  6. Step 6: Final answer
    x = 608.27

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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.