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Finding the Fourth Proportional to 733.27, 1,100.68 and 716.74

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Solution

The fourth proportional to 733.27, 1,100.68 and 716.74 is: 1,075.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.27 : 1,100.68 = 716.74 : x
  2. Step 2: Convert to fraction form
    733.27/1,100.68 = 716.74/x
  3. Step 3: Cross multiply
    733.27x = 1,100.68 × 716.74
  4. Step 4: Simplify right side
    733.27x = 788,905.72
  5. Step 5: Solve for x
    x = 788,905.72/733.27
  6. Step 6: Final answer
    x = 1,075.87

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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.