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Finding the Fourth Proportional to 733.20, 992.70 and 733.20

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Solution

The fourth proportional to 733.20, 992.70 and 733.20 is: 992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.20 : 992.70 = 733.20 : x
  2. Step 2: Convert to fraction form
    733.20/992.70 = 733.20/x
  3. Step 3: Cross multiply
    733.20x = 992.70 × 733.20
  4. Step 4: Simplify right side
    733.20x = 727,847.64
  5. Step 5: Solve for x
    x = 727,847.64/733.20
  6. Step 6: Final answer
    x = 992.70

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.