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Finding the Fourth Proportional to 642.60, 965.58 and 550.32

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Solution

The fourth proportional to 642.60, 965.58 and 550.32 is: 826.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.60 : 965.58 = 550.32 : x
  2. Step 2: Convert to fraction form
    642.60/965.58 = 550.32/x
  3. Step 3: Cross multiply
    642.60x = 965.58 × 550.32
  4. Step 4: Simplify right side
    642.60x = 531,377.99
  5. Step 5: Solve for x
    x = 531,377.99/642.60
  6. Step 6: Final answer
    x = 826.92

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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.