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Finding the Fourth Proportional to 982.45, 1,474.42 and 434.98

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Solution

The fourth proportional to 982.45, 1,474.42 and 434.98 is: 652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.45 : 1,474.42 = 434.98 : x
  2. Step 2: Convert to fraction form
    982.45/1,474.42 = 434.98/x
  3. Step 3: Cross multiply
    982.45x = 1,474.42 × 434.98
  4. Step 4: Simplify right side
    982.45x = 641,343.21
  5. Step 5: Solve for x
    x = 641,343.21/982.45
  6. Step 6: Final answer
    x = 652.80

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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.