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Finding the Fourth Proportional to 545.05, 816.67 and 512.65

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Solution

The fourth proportional to 545.05, 816.67 and 512.65 is: 768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.05 : 816.67 = 512.65 : x
  2. Step 2: Convert to fraction form
    545.05/816.67 = 512.65/x
  3. Step 3: Cross multiply
    545.05x = 816.67 × 512.65
  4. Step 4: Simplify right side
    545.05x = 418,665.88
  5. Step 5: Solve for x
    x = 418,665.88/545.05
  6. Step 6: Final answer
    x = 768.12

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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.