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Finding the Fourth Proportional to 982.96, 1,474.62 and 405.82

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Solution

The fourth proportional to 982.96, 1,474.62 and 405.82 is: 608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.96 : 1,474.62 = 405.82 : x
  2. Step 2: Convert to fraction form
    982.96/1,474.62 = 405.82/x
  3. Step 3: Cross multiply
    982.96x = 1,474.62 × 405.82
  4. Step 4: Simplify right side
    982.96x = 598,430.29
  5. Step 5: Solve for x
    x = 598,430.29/982.96
  6. Step 6: Final answer
    x = 608.80

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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.