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Finding the Fourth Proportional to 531.02, 791.34 and 513.61

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Solution

The fourth proportional to 531.02, 791.34 and 513.61 is: 765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.02 : 791.34 = 513.61 : x
  2. Step 2: Convert to fraction form
    531.02/791.34 = 513.61/x
  3. Step 3: Cross multiply
    531.02x = 791.34 × 513.61
  4. Step 4: Simplify right side
    531.02x = 406,433.61
  5. Step 5: Solve for x
    x = 406,433.61/531.02
  6. Step 6: Final answer
    x = 765.38

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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.