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Finding the Fourth Proportional to 982.78, 1,473.39 and 405.22

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Solution

The fourth proportional to 982.78, 1,473.39 and 405.22 is: 607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.78 : 1,473.39 = 405.22 : x
  2. Step 2: Convert to fraction form
    982.78/1,473.39 = 405.22/x
  3. Step 3: Cross multiply
    982.78x = 1,473.39 × 405.22
  4. Step 4: Simplify right side
    982.78x = 597,047.10
  5. Step 5: Solve for x
    x = 597,047.10/982.78
  6. Step 6: Final answer
    x = 607.51

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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.