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Finding the Fourth Proportional to 513.89, 766.21 and 504.66

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Solution

The fourth proportional to 513.89, 766.21 and 504.66 is: 752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.89 : 766.21 = 504.66 : x
  2. Step 2: Convert to fraction form
    513.89/766.21 = 504.66/x
  3. Step 3: Cross multiply
    513.89x = 766.21 × 504.66
  4. Step 4: Simplify right side
    513.89x = 386,675.54
  5. Step 5: Solve for x
    x = 386,675.54/513.89
  6. Step 6: Final answer
    x = 752.45

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Why These Related Problems?

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