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Finding the Fourth Proportional to 650.82, 899.39 and 578.82

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Solution

The fourth proportional to 650.82, 899.39 and 578.82 is: 799.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.82 : 899.39 = 578.82 : x
  2. Step 2: Convert to fraction form
    650.82/899.39 = 578.82/x
  3. Step 3: Cross multiply
    650.82x = 899.39 × 578.82
  4. Step 4: Simplify right side
    650.82x = 520,584.92
  5. Step 5: Solve for x
    x = 520,584.92/650.82
  6. Step 6: Final answer
    x = 799.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.