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Finding the Fourth Proportional to 667.52, 999.81 and 550.65

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Solution

The fourth proportional to 667.52, 999.81 and 550.65 is: 824.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.52 : 999.81 = 550.65 : x
  2. Step 2: Convert to fraction form
    667.52/999.81 = 550.65/x
  3. Step 3: Cross multiply
    667.52x = 999.81 × 550.65
  4. Step 4: Simplify right side
    667.52x = 550,545.38
  5. Step 5: Solve for x
    x = 550,545.38/667.52
  6. Step 6: Final answer
    x = 824.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.