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Finding the Fourth Proportional to 550.18, 820.86 and 509.18

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Solution

The fourth proportional to 550.18, 820.86 and 509.18 is: 759.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.18 : 820.86 = 509.18 : x
  2. Step 2: Convert to fraction form
    550.18/820.86 = 509.18/x
  3. Step 3: Cross multiply
    550.18x = 820.86 × 509.18
  4. Step 4: Simplify right side
    550.18x = 417,958.84
  5. Step 5: Solve for x
    x = 417,958.84/550.18
  6. Step 6: Final answer
    x = 759.68

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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.