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Finding the Fourth Proportional to 738.56, 1,107.52 and 446.72

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Solution

The fourth proportional to 738.56, 1,107.52 and 446.72 is: 669.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.56 : 1,107.52 = 446.72 : x
  2. Step 2: Convert to fraction form
    738.56/1,107.52 = 446.72/x
  3. Step 3: Cross multiply
    738.56x = 1,107.52 × 446.72
  4. Step 4: Simplify right side
    738.56x = 494,751.33
  5. Step 5: Solve for x
    x = 494,751.33/738.56
  6. Step 6: Final answer
    x = 669.89

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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.