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Finding the Fourth Proportional to 733.80, 1,012.32 and 453.84

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Solution

The fourth proportional to 733.80, 1,012.32 and 453.84 is: 626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.80 : 1,012.32 = 453.84 : x
  2. Step 2: Convert to fraction form
    733.80/1,012.32 = 453.84/x
  3. Step 3: Cross multiply
    733.80x = 1,012.32 × 453.84
  4. Step 4: Simplify right side
    733.80x = 459,431.31
  5. Step 5: Solve for x
    x = 459,431.31/733.80
  6. Step 6: Final answer
    x = 626.10

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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.