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Finding the Fourth Proportional to 520.67, 779.66 and 505.28

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Solution

The fourth proportional to 520.67, 779.66 and 505.28 is: 756.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.67 : 779.66 = 505.28 : x
  2. Step 2: Convert to fraction form
    520.67/779.66 = 505.28/x
  3. Step 3: Cross multiply
    520.67x = 779.66 × 505.28
  4. Step 4: Simplify right side
    520.67x = 393,944.08
  5. Step 5: Solve for x
    x = 393,944.08/520.67
  6. Step 6: Final answer
    x = 756.61

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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.