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Finding the Fourth Proportional to 647.12, 965.15 and 550.26

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Solution

The fourth proportional to 647.12, 965.15 and 550.26 is: 820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.12 : 965.15 = 550.26 : x
  2. Step 2: Convert to fraction form
    647.12/965.15 = 550.26/x
  3. Step 3: Cross multiply
    647.12x = 965.15 × 550.26
  4. Step 4: Simplify right side
    647.12x = 531,082.75
  5. Step 5: Solve for x
    x = 531,082.75/647.12
  6. Step 6: Final answer
    x = 820.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.