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Finding the Fourth Proportional to 620.05, 928.83 and 511.90

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Solution

The fourth proportional to 620.05, 928.83 and 511.90 is: 766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.05 : 928.83 = 511.90 : x
  2. Step 2: Convert to fraction form
    620.05/928.83 = 511.90/x
  3. Step 3: Cross multiply
    620.05x = 928.83 × 511.90
  4. Step 4: Simplify right side
    620.05x = 475,468.08
  5. Step 5: Solve for x
    x = 475,468.08/620.05
  6. Step 6: Final answer
    x = 766.82

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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.