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Finding the Fourth Proportional to 665.78, 1,000.67 and 550.96

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Solution

The fourth proportional to 665.78, 1,000.67 and 550.96 is: 828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.78 : 1,000.67 = 550.96 : x
  2. Step 2: Convert to fraction form
    665.78/1,000.67 = 550.96/x
  3. Step 3: Cross multiply
    665.78x = 1,000.67 × 550.96
  4. Step 4: Simplify right side
    665.78x = 551,331.70
  5. Step 5: Solve for x
    x = 551,331.70/665.78
  6. Step 6: Final answer
    x = 828.10

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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.