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Finding the Fourth Proportional to 733.68, 1,097.70 and 528.72

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Solution

The fourth proportional to 733.68, 1,097.70 and 528.72 is: 791.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.68 : 1,097.70 = 528.72 : x
  2. Step 2: Convert to fraction form
    733.68/1,097.70 = 528.72/x
  3. Step 3: Cross multiply
    733.68x = 1,097.70 × 528.72
  4. Step 4: Simplify right side
    733.68x = 580,375.94
  5. Step 5: Solve for x
    x = 580,375.94/733.68
  6. Step 6: Final answer
    x = 791.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.