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Finding the Fourth Proportional to 513.59, 766.62 and 481.59

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Solution

The fourth proportional to 513.59, 766.62 and 481.59 is: 718.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.59 : 766.62 = 481.59 : x
  2. Step 2: Convert to fraction form
    513.59/766.62 = 481.59/x
  3. Step 3: Cross multiply
    513.59x = 766.62 × 481.59
  4. Step 4: Simplify right side
    513.59x = 369,196.53
  5. Step 5: Solve for x
    x = 369,196.53/513.59
  6. Step 6: Final answer
    x = 718.86

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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.