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Finding the Fourth Proportional to 711.10, 982.26 and 593.46

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Solution

The fourth proportional to 711.10, 982.26 and 593.46 is: 819.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.10 : 982.26 = 593.46 : x
  2. Step 2: Convert to fraction form
    711.10/982.26 = 593.46/x
  3. Step 3: Cross multiply
    711.10x = 982.26 × 593.46
  4. Step 4: Simplify right side
    711.10x = 582,932.02
  5. Step 5: Solve for x
    x = 582,932.02/711.10
  6. Step 6: Final answer
    x = 819.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.