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Finding the Fourth Proportional to 519.78, 774.78 and 505.20

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Solution

The fourth proportional to 519.78, 774.78 and 505.20 is: 753.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.78 : 774.78 = 505.20 : x
  2. Step 2: Convert to fraction form
    519.78/774.78 = 505.20/x
  3. Step 3: Cross multiply
    519.78x = 774.78 × 505.20
  4. Step 4: Simplify right side
    519.78x = 391,418.86
  5. Step 5: Solve for x
    x = 391,418.86/519.78
  6. Step 6: Final answer
    x = 753.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.