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Finding the Fourth Proportional to 737.11, 1,106.01 and 326.18

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Solution

The fourth proportional to 737.11, 1,106.01 and 326.18 is: 489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.11 : 1,106.01 = 326.18 : x
  2. Step 2: Convert to fraction form
    737.11/1,106.01 = 326.18/x
  3. Step 3: Cross multiply
    737.11x = 1,106.01 × 326.18
  4. Step 4: Simplify right side
    737.11x = 360,758.34
  5. Step 5: Solve for x
    x = 360,758.34/737.11
  6. Step 6: Final answer
    x = 489.42

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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.