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Finding the Fourth Proportional to 720.33, 993.52 and 533.82

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Solution

The fourth proportional to 720.33, 993.52 and 533.82 is: 736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.33 : 993.52 = 533.82 : x
  2. Step 2: Convert to fraction form
    720.33/993.52 = 533.82/x
  3. Step 3: Cross multiply
    720.33x = 993.52 × 533.82
  4. Step 4: Simplify right side
    720.33x = 530,360.85
  5. Step 5: Solve for x
    x = 530,360.85/720.33
  6. Step 6: Final answer
    x = 736.27

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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.