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Finding the Fourth Proportional to 520.80, 779.40 and 520.80

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Solution

The fourth proportional to 520.80, 779.40 and 520.80 is: 779.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.80 : 779.40 = 520.80 : x
  2. Step 2: Convert to fraction form
    520.80/779.40 = 520.80/x
  3. Step 3: Cross multiply
    520.80x = 779.40 × 520.80
  4. Step 4: Simplify right side
    520.80x = 405,911.52
  5. Step 5: Solve for x
    x = 405,911.52/520.80
  6. Step 6: Final answer
    x = 779.40

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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.