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Finding the Fourth Proportional to 982.62, 1,474.04 and 434.73

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Solution

The fourth proportional to 982.62, 1,474.04 and 434.73 is: 652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.62 : 1,474.04 = 434.73 : x
  2. Step 2: Convert to fraction form
    982.62/1,474.04 = 434.73/x
  3. Step 3: Cross multiply
    982.62x = 1,474.04 × 434.73
  4. Step 4: Simplify right side
    982.62x = 640,807.24
  5. Step 5: Solve for x
    x = 640,807.24/982.62
  6. Step 6: Final answer
    x = 652.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.