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Finding the Fourth Proportional to 982.20, 1,473.28 and 405.08

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Solution

The fourth proportional to 982.20, 1,473.28 and 405.08 is: 607.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.20 : 1,473.28 = 405.08 : x
  2. Step 2: Convert to fraction form
    982.20/1,473.28 = 405.08/x
  3. Step 3: Cross multiply
    982.20x = 1,473.28 × 405.08
  4. Step 4: Simplify right side
    982.20x = 596,796.26
  5. Step 5: Solve for x
    x = 596,796.26/982.20
  6. Step 6: Final answer
    x = 607.61

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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.