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Finding the Fourth Proportional to 982.70, 1,472.72 and 496.08

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Solution

The fourth proportional to 982.70, 1,472.72 and 496.08 is: 743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.70 : 1,472.72 = 496.08 : x
  2. Step 2: Convert to fraction form
    982.70/1,472.72 = 496.08/x
  3. Step 3: Cross multiply
    982.70x = 1,472.72 × 496.08
  4. Step 4: Simplify right side
    982.70x = 730,586.94
  5. Step 5: Solve for x
    x = 730,586.94/982.70
  6. Step 6: Final answer
    x = 743.45

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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.