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Finding the Fourth Proportional to 649.73, 974.64 and 573.23

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Solution

The fourth proportional to 649.73, 974.64 and 573.23 is: 859.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.73 : 974.64 = 573.23 : x
  2. Step 2: Convert to fraction form
    649.73/974.64 = 573.23/x
  3. Step 3: Cross multiply
    649.73x = 974.64 × 573.23
  4. Step 4: Simplify right side
    649.73x = 558,692.89
  5. Step 5: Solve for x
    x = 558,692.89/649.73
  6. Step 6: Final answer
    x = 859.88

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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.