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Finding the Fourth Proportional to 737.78, 1,106.60 and 217.76

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Solution

The fourth proportional to 737.78, 1,106.60 and 217.76 is: 326.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.78 : 1,106.60 = 217.76 : x
  2. Step 2: Convert to fraction form
    737.78/1,106.60 = 217.76/x
  3. Step 3: Cross multiply
    737.78x = 1,106.60 × 217.76
  4. Step 4: Simplify right side
    737.78x = 240,966.59
  5. Step 5: Solve for x
    x = 240,966.59/737.78
  6. Step 6: Final answer
    x = 326.61

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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.