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Finding the Fourth Proportional to 650.82, 977.44 and 535.52

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Solution

The fourth proportional to 650.82, 977.44 and 535.52 is: 804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.82 : 977.44 = 535.52 : x
  2. Step 2: Convert to fraction form
    650.82/977.44 = 535.52/x
  3. Step 3: Cross multiply
    650.82x = 977.44 × 535.52
  4. Step 4: Simplify right side
    650.82x = 523,438.67
  5. Step 5: Solve for x
    x = 523,438.67/650.82
  6. Step 6: Final answer
    x = 804.28

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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.