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Finding the Fourth Proportional to 519.96, 780.08 and 510.80

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Solution

The fourth proportional to 519.96, 780.08 and 510.80 is: 766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.96 : 780.08 = 510.80 : x
  2. Step 2: Convert to fraction form
    519.96/780.08 = 510.80/x
  3. Step 3: Cross multiply
    519.96x = 780.08 × 510.80
  4. Step 4: Simplify right side
    519.96x = 398,464.86
  5. Step 5: Solve for x
    x = 398,464.86/519.96
  6. Step 6: Final answer
    x = 766.34

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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.