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Finding the Fourth Proportional to 518.88, 784.20 and 509.92

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Solution

The fourth proportional to 518.88, 784.20 and 509.92 is: 770.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.88 : 784.20 = 509.92 : x
  2. Step 2: Convert to fraction form
    518.88/784.20 = 509.92/x
  3. Step 3: Cross multiply
    518.88x = 784.20 × 509.92
  4. Step 4: Simplify right side
    518.88x = 399,879.26
  5. Step 5: Solve for x
    x = 399,879.26/518.88
  6. Step 6: Final answer
    x = 770.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.