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Finding the Fourth Proportional to 737.64, 1,106.46 and 189.83

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Solution

The fourth proportional to 737.64, 1,106.46 and 189.83 is: 284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.64 : 1,106.46 = 189.83 : x
  2. Step 2: Convert to fraction form
    737.64/1,106.46 = 189.83/x
  3. Step 3: Cross multiply
    737.64x = 1,106.46 × 189.83
  4. Step 4: Simplify right side
    737.64x = 210,042.07
  5. Step 5: Solve for x
    x = 210,042.07/737.64
  6. Step 6: Final answer
    x = 284.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.