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Finding the Fourth Proportional to 737.71, 1,106.61 and 189.88

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Solution

The fourth proportional to 737.71, 1,106.61 and 189.88 is: 284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.71 : 1,106.61 = 189.88 : x
  2. Step 2: Convert to fraction form
    737.71/1,106.61 = 189.88/x
  3. Step 3: Cross multiply
    737.71x = 1,106.61 × 189.88
  4. Step 4: Simplify right side
    737.71x = 210,123.11
  5. Step 5: Solve for x
    x = 210,123.11/737.71
  6. Step 6: Final answer
    x = 284.83

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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.