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Finding the Fourth Proportional to 520.14, 778.88 and 504.76

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Solution

The fourth proportional to 520.14, 778.88 and 504.76 is: 755.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.14 : 778.88 = 504.76 : x
  2. Step 2: Convert to fraction form
    520.14/778.88 = 504.76/x
  3. Step 3: Cross multiply
    520.14x = 778.88 × 504.76
  4. Step 4: Simplify right side
    520.14x = 393,147.47
  5. Step 5: Solve for x
    x = 393,147.47/520.14
  6. Step 6: Final answer
    x = 755.85

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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.