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Finding the Fourth Proportional to 723.33, 997.71 and 523.82

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Solution

The fourth proportional to 723.33, 997.71 and 523.82 is: 722.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.33 : 997.71 = 523.82 : x
  2. Step 2: Convert to fraction form
    723.33/997.71 = 523.82/x
  3. Step 3: Cross multiply
    723.33x = 997.71 × 523.82
  4. Step 4: Simplify right side
    723.33x = 522,615.46
  5. Step 5: Solve for x
    x = 522,615.46/723.33
  6. Step 6: Final answer
    x = 722.51

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