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Finding the Fourth Proportional to 649.72, 974.67 and 529.03

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Solution

The fourth proportional to 649.72, 974.67 and 529.03 is: 793.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.72 : 974.67 = 529.03 : x
  2. Step 2: Convert to fraction form
    649.72/974.67 = 529.03/x
  3. Step 3: Cross multiply
    649.72x = 974.67 × 529.03
  4. Step 4: Simplify right side
    649.72x = 515,629.67
  5. Step 5: Solve for x
    x = 515,629.67/649.72
  6. Step 6: Final answer
    x = 793.62

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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.