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Finding the Fourth Proportional to 737.19, 1,106.82 and 444.96

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Solution

The fourth proportional to 737.19, 1,106.82 and 444.96 is: 668.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.19 : 1,106.82 = 444.96 : x
  2. Step 2: Convert to fraction form
    737.19/1,106.82 = 444.96/x
  3. Step 3: Cross multiply
    737.19x = 1,106.82 × 444.96
  4. Step 4: Simplify right side
    737.19x = 492,490.63
  5. Step 5: Solve for x
    x = 492,490.63/737.19
  6. Step 6: Final answer
    x = 668.06

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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.